2025
Numerical range of Toeplitz and weighted composition operators on weighted Bergman spaces
SEN, Anirban; Subhadip HALDER; Riddhick BIRBONSHI and Kallol PAULBasic information
Original name
Numerical range of Toeplitz and weighted composition operators on weighted Bergman spaces
Authors
SEN, Anirban; Subhadip HALDER; Riddhick BIRBONSHI and Kallol PAUL
Edition
Canadian Mathematical Bulletin, Oxford (England), Cambridge University Press, 2025, 0008-4395
Other information
Language
English
Type of outcome
Article in a journal
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 0.400 in 2024
Marked to be transferred to RIV
No
Organization unit
Mathematical Institute in Opava
UT WoS
001613391700001
EID Scopus
2-s2.0-105019326304
Keywords in English
Numerical range; Toeplitz operator; weighted Bergman space; weighted composition operator
Tags
International impact, Reviewed
Links
GA25-18042S, research and development project.
Changed: 26/2/2026 10:14, Mgr. Aleš Ryšavý
Abstract
In the original language
In this paper we completely describe the numerical range of Toeplitz operators on weighted Bergman spaces with harmonic symbol. We also characterize the numerical range of weighted composition operators on weighted Bergman spaces and classify some sets which are the numerical range of composition operators. We investigate the inclusion of zero in the numerical range, and compute the radius of circular and elliptical disk contained in the numerical range of weighted composition operators on weighted Bergman spaces.