ON INTEGRAL OPERATORS OF BERGMAN TYPE ON THE UNIT BALL OF ${\mathbb R}^n$
DOI:
https://doi.org/10.46991/PSYU:A/2015.49.3.023Keywords:
unit ball in $\mathbbR^n, harmonic function, mixed norm space, Bergman space, Bergman operator, projection, Lipschitz spaceAbstract
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.
Downloads
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
Issue
Section
Mathematics
License
Copyright (c) 2015 Proceedings of the YSU
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.