ON INTEGRAL OPERATORS OF BERGMAN TYPE ON THE UNIT BALL OF ${\mathbb R}^n$

Ye.G. Tonoyan

doi:10.46991/PSYU:A/2015.49.3.023

ON INTEGRAL OPERATORS OF BERGMAN TYPE ON THE UNIT BALL OF ${\mathbb R}^n$

Authors

Ye.G. Tonoyan Chair of Higher Mathematics, Faculty of Physics, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2015.49.3.023

Keywords:

unit ball in $\mathbbR^n, harmonic function, mixed norm space, Bergman space, Bergman operator, projection, Lipschitz space

Abstract

We prove the boundedness of Bergman type integral operators in mixed norm spaces over the unit ball of ${\mathbb R}^n$. Bounded harmonic projections are found in the mixed norm and Lipschitz spaces. Corresponding Forelli–Rudin type theorems are proved.

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Published

2015-12-15

How to Cite

Tonoyan, Y. (2015). ON INTEGRAL OPERATORS OF BERGMAN TYPE ON THE UNIT BALL OF ${\mathbb R}^n$. Proceedings of the YSU A: Physical and Mathematical Sciences, 49(3 (238), 23–30. https://doi.org/10.46991/PSYU:A/2015.49.3.023