2017; Physical and Mathematical Sciences, 51(2 (243): 139–145
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OPERATORS ON THE BESOV SPACESOF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn

Anahit Harutyunyan*

Received: 2025-02-05 · Published: 2017-08-15

© 2017 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
OPERATORS ON THE BESOV SPACESOF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn
Author
Anahit Harutyunyan
Published
2017-08-15
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2017.51.2.139

Abstract

n the present paper we consider the Toeplitz-Tα ̄hand differentiation-Dδoperators on the Besov spacesBp(β)for all 0<p<∞.We show thatTα ̄h:Bp(β)→Bp(β)for ̄h∈H∞(Bn)andDδ:Bp(β)→Bp( ̃β), where ̃β=β+pδ.
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