On the Berezin range of Toeplitz and weighted composition
operators on weighted Bergman spaces

J 2025

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces

SEN, Anirban; Somdatta BARIK a Kallol PAUL

Základní údaje

Originální název

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces

Autoři

SEN, Anirban; Somdatta BARIK a Kallol PAUL

Vydání

Complex Analysis and Operator Theory, Basel (Switzerland), Springer Basel AG, 2025, 1661-8254

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Stát vydavatele

Švýcarsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Complex Analysis and Operator Theory

Impakt faktor

Impact factor: 0.800 v roce 2024

Označené pro přenos do RIV

Organizační jednotka

Matematický ústav v Opavě

DOI

https://doi.org/10.1007/s11785-025-01855-8

UT WoS

001603600700001

EID Scopus

2-s2.0-105020297039

Klíčová slova anglicky

Berezin range; Toeplitz operator; Weighted Bergman spaces; Weighted composition operator

Štítky

MÚ, RIV26

Příznaky

Mezinárodní význam, Recenzováno

Návaznosti

GA25-18042S, projekt VaV.

Změněno: 25. 2. 2026 14:47, Mgr. Aleš Ryšavý

Anotace

V originále

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.

Citovat

SEN, Anirban; Somdatta BARIK a Kallol PAUL. On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces. Complex Analysis and Operator Theory. Basel (Switzerland): Springer Basel AG, 2025, roč. 19, č. 8, s. "223-1"-"223-17", 17 s. ISSN 1661-8254. Dostupné z: https://doi.org/10.1007/s11785-025-01855-8.

@article{90906,
   author = {Sen, Anirban and Barik, Somdatta and Paul, Kallol},
   article_location = {Basel (Switzerland)},
   article_number = {8},
   doi = {https://doi.org/10.1007/s11785-025-01855-8},
   keywords = {Berezin range; Toeplitz operator; Weighted Bergman spaces; Weighted composition operator},
   language = {eng},
   issn = {1661-8254},
   journal = {Complex Analysis and Operator Theory},
   title = {On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces},
   url = {https://link.springer.com/article/10.1007/s11785-025-01855-8},
   volume = {19},
   year = {2025}
}

TY  - JOUR
ID  - 90906
AU  - Sen, Anirban - Barik, Somdatta - Paul, Kallol
PY  - 2025
TI  - On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces
JF  - Complex Analysis and Operator Theory
VL  - 19
IS  - 8
SP  - "223-1"-"223-17"
EP  - "223-1"-"223-17"
PB  - Springer Basel AG
SN  - 16618254
KW  - Berezin range
KW  - Toeplitz operator
KW  - Weighted Bergman spaces
KW  - Weighted composition operator
UR  - https://link.springer.com/article/10.1007/s11785-025-01855-8
N2  - 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.
ER  -

SEN, Anirban; Somdatta BARIK a Kallol PAUL. On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces. \textit{Complex Analysis and Operator Theory}. Basel (Switzerland): Springer Basel AG, 2025, roč.~19, č.~8, s.~''223-1''-''223-17'', 17 s. ISSN~1661-8254. Dostupné z: https://doi.org/10.1007/s11785-025-01855-8.

Přehled o publikaci