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Jouni Rättyä

Jouni Rättyä

Professor

Department of Physics and Mathematics, Faculty of Science, Forestry and Technology

jouni.rattya@uef.fi | +358 50 442 3451

0504423451
050 4423451
050 442 3451
+358 50 442 3451
+35850 442 3451
050 4423 451
+358 50 4423 451
+35850 4423 451
+358 50 4423451
+35850 4423451
+358504423451

Information Publications

Research interests:
-operator theory
-analytic function spaces
-komplex differential equations

Research groups

Complex Analysis 30.08.2018 -

Publications

81 items

Bergman projection and BMO in hyperbolic metric: improvement of classical result
Peláez, José Ángel; Rättyä, Jouni. 2023. Mathematische zeitschrift. 305:
One weight inequality for Bergman projection and Calderón operator induced by radial weight
Reyes, Francisco J. Martin; Ortega, Pedro; Pelaez, Jose Angel; Rättyä, Jouni. 2023. Proceedings of the American Mathematical Society. 151: 5189-5203
Two weight inequality for Hankel form on weighted Bergman spaces induced by doubling weights
Duan, Yongjiang; Rättyä, Jouni; Wang, Siyu; Wu, Fanglei. 2023. Advances in mathematics. 431:
Volterra-type operators mapping weighted Dirichlet space into H∞
Peláez, José Ángel; Rättyä, Jouni; Wu, Fanglei. 2023. Mathematische zeitschrift. 304: . 31
Description of growth and oscillation of solutions of complex LDE’s
Chyzhykov, Igor; Gröhn, Janne; Heittokangas, Janne; Rättyä, Jouni. 2022. Journal of the australian mathematical society. [Published online 16 June 2022]: 1-27
Integral Operators Induced by Symbols with Non-negative Maclaurin Coefficients Mapping into H∞
Peláez, José Ángel; Rättyä, Jouni; Wu, Fanglei. 2022. Journal of geometric analysis. 32:
Integral means of derivatives of univalent functions in Hardy spaces
Pérez-González, Fernando; Rättyä, Jouni; Vesikko, Toni. 2022. Proceedings of the American Mathematical Society. 151: 611-621
Irregular finite order solutions of complex LDE's in unit disc
Chyzhykov, Igor; Filevych, Petro; Gröhn, Janne; Heittokangas, Janne; Rättyä, Jouni. 2022. Journal de mathematiques pures et appliquees. 160: 158-201
Oscillation of Solutions of LDE’s in Domains Conformally Equivalent to Unit Disc
Chyzhykov, I.; Gröhn, J.; Heittokangas, J.; Rättyä, J.. 2022. Journal of geometric analysis. 32:
Bergman projection induced by radial weight
Peláez, José Ángel; Rättyä, Jouni. 2021. Advances in mathematics. 391: 107950
Compact Differences of Composition Operators on Bergman Spaces Induced by Doubling Weights
Liu, Bin; Rattya, Jouni; Wu, Fanglei. 2021. Journal of geometric analysis. 31: 12485-12500
Generalization of Proximate Order and Applications
Chyzhykov, Igor; Filevych, Petro; Rättyä, Jouni. 2021. Computational methods and function theory. [Epub ahead of print 26 Aug 2021]: 1-26
Closure of bergman and dirichletspaces in the bloch norm
Liu, Bin; Rättyä, Jouni. 2020. Annales academiae scientiarum fennicae-mathematica. 45: 771-783
Compact differences of weighted composition operators
Liu, Bin; Rättyä, Jouni. 2020. Collectanea mathematica. 2022; 73: 89-105
Growth estimates for meromorphic solutions of higher order algebraic differential equations
Makhmutov, Shamil ; Rättyä, Jouni ; Vesikko, Toni. 2020. Tohoku mathematical journal. 72: 621-629
Harmonic conjugates on Bergman spaces induced bydoubling weights
Peláez, JÁ; Rättyä, J. 2020. Analysis and mathematical physics. 10: 18
Hyperbolically Close to Q^{#}_{p}-sequences
Aulaskari, Rauno; Makhmutov, Shamil; Rättyä, Jouni. 2020. Bulletin of the korean mathematical society. 57: 133-138
Radial Two Weight Inequality for Maximal Bergman Projection Induced by a Regular Weight
Korhonen, Taneli; Pelaez, Jose Angel; Rättyä, Jouni. 2020. Potential analysis. 2021; 54: 561-574
Atomic Decomposition and Carleson Measures for Weighted Mixed Norm Spaces
Angel Pelaez, Jose; Rättyä, Jouni; Sierra, Kian. 2019. Journal of geometric analysis. [Published: 18 October 2019]: 1-33
Bergman projection induced by kernel with integral representation
Peláez, JÁ; Rättyä, J; Wick, BD. 2019. Journal d analyse mathematique. 138: 325-360
Hankel operators induced by radial Bekollé-Bonami weights on Bergman spaces
Pelaez, Jose Angel; Perälä, Antti; Rättyä, Jouni. 2019. Mathematische zeitschrift. [Published online: 07 Nov 2019]: 1-28
Radial averaging operator acting on Bergman and Lebesgue spaces
Korhonen, Taneli; Peláez, José Ángel; Rättyä, Jouni. 2019. Forum mathematicum. 31: 1051-1068
Zero sequences, factorization and sampling measures for weighted Bergman spaces
Korhonen, Taneli; Rättyä, Jouni. 2019. Mathematische zeitschrift. 291: 1145-1173
Linear differential equations with slowly growing solutions
Gröhn, Janne; Huusko, Juha-Matti; Rättyä, Jouni. 2018. Transactions of the american mathematical society. 370: 7201-7227
Mean growth and geometric zero distribution of solutions of linear differential equations
Gröhn, Janne; Nicolau, Artur; Rättyä, Jouni. 2018. Journal d analyse mathematique. 134: 747-768
Berezin Transform and Toeplitz Operators on Bergman Spaces Induced by Regular Weights
Peláez JÁ, Rättyä J, Sierra K. 2017. Journal of geometric analysis. 2018; 28: 656-687
Derivatives of Inner Functions in Bergman Spaces Induced by Doubling Weights
Pérez-González Fernando, Rättyä Jouni, Reijonen Atte. 2017. Annales academiae scientiarum fennicae-mathematica. 42: 735-753
Duality of weighted Bergman spaces with small exponents
Perälä Antti, Rättyä Jouni. 2017. Annales academiae scientiarum fennicae-mathematica. 42: 621-626
Derivatives of Inner Functions in Weighted Bergman Spaces and the Schwarz-Pick Lemma
Pérez-González Fernando, Rättyä Jouni. 2016. Proceedings of the American Mathematical Society. [Epub ahead of print 21 Nov 2016]: 1-12
Integral operators mapping into the space of bounded analytic functions
Contreras Manuel D, Peláez José A, Pommerenke Christian, Rättyä Jouni. 2016. Journal of functional analysis. 271: 2899-2943
On Oscillation of Solutions of Linear Differential Equations
Gröhn Janne, Rättyä Jouni. 2016. Journal of geometric analysis. [Epub ahead of print 14 March 2016]: 1-18
On the Boundedness of Bergman Projection
Pelaez Jose Angel, Rättyä Jouni. Teoksessa: Francisco Javier Martín-Reyes, Pedro Ortega Salvador, María Lorente, Cristóbal González(toim.) , 2016. Advanced Courses of Mathematical Analysis VI, Proceedings of the Sixth International School, VI International Course of Mathematical Analysis in Andalusia, Universidad de Málaga, Spain, 8 - 12 September 2014. s. 113-132. World scientific
Trace class criteria for Toeplitz and composition operators on small Bergman spaces
Ángel Peláez José, Rättyä Jouni. 2016. Advances in mathematics. 293: 606-643
Embedding Bergman spaces into tent spaces
Peláez José Ángel, Rättyä Jouni, Sierra Kian. 2015. Mathematische zeitschrift. 281: 1215-1237
Two weight inequality for Bergman projection
Peláez José Ángel, Rättyä Jouni. 2015. Journal de mathematiques pures et appliquees. 2016; 105: 102-130
Embedding theorems for Bergman spaces via harmonic analysis
Peláez José Angel, Rättyä Jouni. 2014. Mathematische annalen. Epub: -
Jointly maximal products in weighted growth spaces
Gröhn Janne, Peláez José Ángel, Rättyä Jouni. 2014. Annales academiae scientiarum fennicae-mathematica. 39: 109-118
On alpha-Polynomial Regular Functions, with Applications to Ordinary Differential Equations
Fenton Peter, Gröhn Janne, Heittokangas Janne, Rossi John, Rättyä Jouni. 2014. Proceedings of the Edinburgh Mathematical Society. 57: 405-421
Operator theoretic differences between Hardy and Dirichlet type spaces
Peláez José-Angel, Pérez-González Fernando, Rättyä Jouni. 2014. Journal of mathematical analysis and applications. 418: 387-402
Weighted Bergman spaces induced by rapidly increasing weights
Peláez José-Angel, Rättyä Jouni. 2014. Memoirs of the american mathematical society. 227: 1-124
Generalized Hilbert operators on weighted Bergman spaces
Peláez Jose Angel, Rättyä Jouni. 2013. Advances in mathematics. 240: 227-267
Inclusion Relations for New Function Spaces on Riemann Surfaces
Aulaskari R, Rättyä J. 2013. Canadian mathematical bulletin-bulletin canadien de mathematiques. 56: 466-476
Locally univalent functions, VMOA and the Dirichlet space
Gallardo-Gutiérrez Eva A, González María J, Pérez-González Fernando, Pommerenke Christian, Rättyä Jouni. 2013. Proceedings of the london mathematical society. 106: 565-588
Maximal property of the capacity density Bloch space for Hq Qp on Riemann surfaces
Aulaskari Rauno, Rättyä Jouni. 2013. Complex variables and elliptic equations. -: -
Zero separation results for solutions of second order linear differential equations
Chuaqui Martin, Gröhn Janne, Heittokangas Janne, Rättyä Jouni. 2013. Advances in mathematics. 245: 382-422
Counterexamples on non-&alpha:-normal functions with good integrability
Aulaskari Rauno, Makhmutov Shamil, Rättyä Jouni. 2011. New york journal of mathematics. 17a: 165-175
Generalized Schwarzian derivatives and higher order differential equations
Chuaqui Martin, Gröhn Janne, Rättyä Jouni. 2011. Mathematical proceedings of the Cambridge Philosophical Society. 151: 339-354
Lipschitz continuous and compact composition operators in hyperbolic classes
Pérez-González Fernando, Rättyä Jouni, Taskinen Jari. 2011. Mediterranean journal of mathematics. 8: 123-135
Possible Intervals for T- and M-Orders of Solutions of Linear Differential Equations in the Unit Disc
Chuaqui Martin, Gröhn Janne, Heittokangas Janne, Rättyä Jouni. 2011. Abstract and applied analysis. 2011: -
Properties of meromorphic &phi:-normal functions
Aulaskari Rauno, Rättyä Jouni. 2011. Michigan mathematical journal. 60: 93-111
Univalent functions in the Möbius invariant Q_K space
Pérez-González Fernando, Rättyä Jouni. 2011. Abstract and applied analysis. 2011: -
Zero distribution of solutions of complex linear differential equations determines growth of solutions
Heittokangas Janne, Rättyä Jouni. 2011. Mathematische nachrichten. 284: 412-420
Sharp logarithmic derivative estimates with applications to ordinary differential equations in the unit disc
I. Chyzhykov, J. Heittokangas, J. Rättyä. 2010. Journal of the australian mathematical society. 88: 145-167
Weighted Yosida functions
Rauno Aulaskari, Shamil Makhmutov, Jouni Rättyä. 2010. Complex variables and elliptic equations. 55: 167-172
Dirichlet and VMOA domains via Schwarzian derivative
Fernando Pérez-González ja Jouni Rättyä. 2009. Journal of mathematical analysis and applications. 359: 543-546
Finite order solutions of linear differential equations in the unit disc
Risto Korhonen, Jouni Rättyä. 2009. Journal of mathematical analysis and applications. 349: 43-54
Finiteness of &phi: order of solutions of linear differential equations in the unit disc
I. Chyzhykov, J. Heittokangas, J. Rättyä. 2009. Journal d'analyse mathématique. 109: 163-198
Growth estimates for solutions of nonhomogeneous linear complex differential equations
Janne Heittokangas, Risto Korhonen ja Jouni Rättyä. 2009. Annales academiae scientiarum fennicae-mathematica. 34: 145-156
Inner functions in the Möbius invariant Besov-type spaces
Fernando Pérez-González and Jouni Rättyä. 2009. Proceedings of the Edinburgh Mathematical Society. 52: 751¿770
Nevanlinna class contains functions whose spherical derivatives grow arbitrarily fast
Rauno Aulaskari and Jouni Rättyä. 2009. Annales academiae scientiarum fennicae-mathematica. 34: 387-390
New characterizations of the meromorphic Besov, Q<sub>p</sub> and related classes
R. Aulaskari, S. Makhmutov and J. Rättyä. 2009. Bulletin of the australian mathematical society. 79: 49-58
Signals of major histocompatibility complex overdominance in a wild salmonid population
Jukka Kekäläinen, J. Albert Vallunen, Craig R. Primmer, Jouni Rättyä and Jouni Taskinen. 2009. Proceedings of the Royal Society B : biological sciences. 276: 3133-3140
Carleson measures and conformal self-mappings in the real unit ball
Marko Kotilainen, Visa Latvala, and Jouni Rättyä. 2008. Mathematische nachrichten. 281: 1582-1589
Carleson measures for the Bloch space
Daniel Girela, José Ángel Peláez, Fernando Pérez-Gonzélez, Jouni Rättyä. 2008. Integral Equations and Operator Theory. 61: 511-547
Linear differential equations with coefficients in weighted Bergman and Hardy spaces
Janne Heittokangas, Risto Korhonen, Jouni Rättyä. 2008. Transactions of the american mathematical society. 360: 1035-1055
The essential norm of a composition operator mapping into Q[sub K] type spaces
Marko Kotilainen, Jouni Rättyä. 2008. Journal of Function Spaces and Applications. 6: 241-258
Univalent functions in Hardy, Bergman, Bloch and related spaces
Fernando Pérez-González, Jouni Rättyä. 2008. Journal d'analyse mathématique. 105: 125-148
Integration operator acting on Hardy and weighted Bergman spaces
Jouni Rättyä. 2007. Bulletin of the australian mathematical society. 75: 431-446
Linear differential equations in the unit disc with analytic solutions of finite order
Risto Korhonen, Jouni Rättyä. 2007. Proceedings of the American Mathematical Society. 135: 1355-1363
Linear differential equations with solutions in Dirichlet type subspace of the Hardy space
J. Heittokangas, R. Korhonen, J. Rättyä. 2007. Nagoya Mathematical Journal. 187: 91-113
Linear differential equations with solutions in the Hardy space
Jouni Rättyä. 2007. Complex variables and elliptic equations. 52: 785-795
On composition operators acting between Hardy and weighted Bergman spaces
F. Pérez-González, J. Rättyä, D. Vukotic. 2007. Expositiones mathematicae. 25: 309-323
The essential norm of a composition operator mapping into the Q[sub s] space
Jouni Rättyä. 2007. Journal of mathematical analysis and applications. 333: 787-797
Composition operators in hyperbolic Q-classes
Xiaonan Li, Fernando Pérez-González, Jouni Rättyä. 2006. Annales academiae scientiarum fennicae-mathematica. 31: 391-404
Fast growing solutions of linear differential equations in the unit disc
Janne Heittokangas, Risto Korhonen, Jouni Rättyä. 2006. Results in mathematics. 49: 265-278
Forelli-Rudin estimates, Carleson measures, and F(p,q,s)-functions
Fernando Pérez-González, Jouni Rättyä. 2006. Journal of mathematical analysis and applications. 315: 394-414
Intersections and unions of weighted Bergman spaces
Risto Korhonen, Jouni Rättyä. 2005. Computational methods and function theory. 5: 459-469
Generalized logarithmic derivative estimates of Gol'dberg-Grinshtein type
J. Heittokangas, R. Korhonen, J. Rättyä. 2004. Bulletin of the london mathematical society. 36: 105-114
Growth estimates for solutions of linear complex differential equations
J. Heittokangas, R. Korhonen, J. Rättyä. 2004. Annales academiae scientiarum fennicae-mathematica. 29: 233-246
N-th derivative characterisations, mean growth of derivatives and F(p,q,s)
J. Rättyä. 2003. Bulletin of the australian mathematical society. 68: 405-421
On some complex function spaces and classes
Jouni Rättyä. 2001. Annales Academiae Scientiarum Fennicae. Mathematica. Dissertationes

University of Eastern Finland Joensuu, Kuopio © University of Eastern Finland

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Jouni Rättyä

Research groups

Bergman projection and BMO in hyperbolic metric: improvement of classical result

One weight inequality for Bergman projection and Calderón operator induced by radial weight

Two weight inequality for Hankel form on weighted Bergman spaces induced by doubling weights

Volterra-type operators mapping weighted Dirichlet space into H∞

Description of growth and oscillation of solutions of complex LDE’s

Integral Operators Induced by Symbols with Non-negative Maclaurin Coefficients Mapping into H∞

Integral means of derivatives of univalent functions in Hardy spaces

Irregular finite order solutions of complex LDE's in unit disc

Oscillation of Solutions of LDE’s in Domains Conformally Equivalent to Unit Disc

Bergman projection induced by radial weight

Compact Differences of Composition Operators on Bergman Spaces Induced by Doubling Weights

Generalization of Proximate Order and Applications

Closure of bergman and dirichletspaces in the bloch norm

Compact differences of weighted composition operators

Growth estimates for meromorphic solutions of higher order algebraic differential equations

Harmonic conjugates on Bergman spaces induced bydoubling weights

Hyperbolically Close to Q^{#}_{p}-sequences

Radial Two Weight Inequality for Maximal Bergman Projection Induced by a Regular Weight

Atomic Decomposition and Carleson Measures for Weighted Mixed Norm Spaces

Bergman projection induced by kernel with integral representation

Hankel operators induced by radial Bekollé-Bonami weights on Bergman spaces

Radial averaging operator acting on Bergman and Lebesgue spaces

Zero sequences, factorization and sampling measures for weighted Bergman spaces

Linear differential equations with slowly growing solutions

Mean growth and geometric zero distribution of solutions of linear differential equations

Berezin Transform and Toeplitz Operators on Bergman Spaces Induced by Regular Weights

Derivatives of Inner Functions in Bergman Spaces Induced by Doubling Weights

Duality of weighted Bergman spaces with small exponents

Derivatives of Inner Functions in Weighted Bergman Spaces and the Schwarz-Pick Lemma

Integral operators mapping into the space of bounded analytic functions

On Oscillation of Solutions of Linear Differential Equations

On the Boundedness of Bergman Projection

Trace class criteria for Toeplitz and composition operators on small Bergman spaces

Embedding Bergman spaces into tent spaces

Two weight inequality for Bergman projection

Embedding theorems for Bergman spaces via harmonic analysis

Jointly maximal products in weighted growth spaces

On alpha-Polynomial Regular Functions, with Applications to Ordinary Differential Equations

Operator theoretic differences between Hardy and Dirichlet type spaces

Weighted Bergman spaces induced by rapidly increasing weights

Generalized Hilbert operators on weighted Bergman spaces

Inclusion Relations for New Function Spaces on Riemann Surfaces

Locally univalent functions, VMOA and the Dirichlet space

Maximal property of the capacity density Bloch space for Hq Qp on Riemann surfaces

Zero separation results for solutions of second order linear differential equations

Counterexamples on non-&alpha:-normal functions with good integrability

Generalized Schwarzian derivatives and higher order differential equations

Lipschitz continuous and compact composition operators in hyperbolic classes

Possible Intervals for T- and M-Orders of Solutions of Linear Differential Equations in the Unit Disc

Properties of meromorphic &phi:-normal functions

Univalent functions in the Möbius invariant Q_K space

Zero distribution of solutions of complex linear differential equations determines growth of solutions

Sharp logarithmic derivative estimates with applications to ordinary differential equations in the unit disc

Weighted Yosida functions

Dirichlet and VMOA domains via Schwarzian derivative

Finite order solutions of linear differential equations in the unit disc

Finiteness of &phi: order of solutions of linear differential equations in the unit disc

Growth estimates for solutions of nonhomogeneous linear complex differential equations

Inner functions in the Möbius invariant Besov-type spaces

Nevanlinna class contains functions whose spherical derivatives grow arbitrarily fast

New characterizations of the meromorphic Besov, Q<sub>p</sub> and related classes

Signals of major histocompatibility complex overdominance in a wild salmonid population

Carleson measures and conformal self-mappings in the real unit ball

Carleson measures for the Bloch space

Linear differential equations with coefficients in weighted Bergman and Hardy spaces

The essential norm of a composition operator mapping into Q[sub K] type spaces

Univalent functions in Hardy, Bergman, Bloch and related spaces

Integration operator acting on Hardy and weighted Bergman spaces

Linear differential equations in the unit disc with analytic solutions of finite order

Linear differential equations with solutions in Dirichlet type subspace of the Hardy space

Linear differential equations with solutions in the Hardy space

On composition operators acting between Hardy and weighted Bergman spaces

The essential norm of a composition operator mapping into the Q[sub s] space

Composition operators in hyperbolic Q-classes

Fast growing solutions of linear differential equations in the unit disc

Forelli-Rudin estimates, Carleson measures, and F(p,q,s)-functions

Intersections and unions of weighted Bergman spaces

Generalized logarithmic derivative estimates of Gol'dberg-Grinshtein type