Hankel and Berezin type operators on weighted Besov spaces of holomorphic functions on polydiscs
Anahit V. Harutyunyan, George Marinescu
TL;DR
This paper investigates the boundedness of generalized Hankel and Berezin type operators on weighted Besov spaces of holomorphic functions on polydiscs, providing new insights into operator behavior in complex analysis.
Contribution
It introduces new boundedness results for Hankel and Berezin type operators on Besov spaces on polydiscs, extending previous work in the field.
Findings
Boundedness criteria for Hankel operators established
Boundedness criteria for Berezin operators established
Results applicable to a range of weighted Besov spaces
Abstract
In this paper we consider the generalized little Hankel and Berezin type operators on Besov spaces of holomorphic functions on polydiscs and give results about the boundedness of these operators.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods