2025
On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces
SEN, Anirban; Somdatta BARIK and Kallol PAULBasic information
Original name
On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces
Authors
SEN, Anirban; Somdatta BARIK and Kallol PAUL
Edition
Complex Analysis and Operator Theory, Basel (Switzerland), Springer Basel AG, 2025, 1661-8254
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Switzerland
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 0.800 in 2024
Marked to be transferred to RIV
Yes
Organization unit
Mathematical Institute in Opava
UT WoS
EID Scopus
Keywords in English
Berezin range; Toeplitz operator; Weighted Bergman spaces; Weighted composition operator
Tags
International impact, Reviewed
Links
GA25-18042S, research and development project.
Changed: 2/3/2026 15:45, Mgr. Aleš Ryšavý
Abstract
In the original language
In this article, we completely characterize the Berezin range of Toeplitz operators with harmonic symbols acting on weighted Bergman spaces, illustrating the necessity of the harmonicity condition through examples. We then introduce a new class of weighted composition operators on these spaces, investigating their fundamental properties and determining their Berezin range and Berezin number. Finally, we study the convexity of the Berezin range of composition operators on weighted Bergman spaces and show that the origin lies in its closure of Berezin range but not in the range itself.