Numerical range of Toeplitz and weighted composition operators
on weighted Bergman spaces

J 2025

Numerical range of Toeplitz and weighted composition operators on weighted Bergman spaces

SEN, Anirban; Subhadip HALDER; Riddhick BIRBONSHI a Kallol PAUL

Základní údaje

Originální název

Numerical range of Toeplitz and weighted composition operators on weighted Bergman spaces

Autoři

SEN, Anirban; Subhadip HALDER; Riddhick BIRBONSHI a Kallol PAUL

Vydání

Canadian Mathematical Bulletin, Oxford (England), Cambridge University Press, 2025, 0008-4395

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Canadian Mathematical Bulletin

Impakt faktor

Impact factor: 0.400 v roce 2024

Označené pro přenos do RIV

Organizační jednotka

Matematický ústav v Opavě

DOI

https://doi.org/10.4153/S0008439525101355

UT WoS

001613391700001

EID Scopus

2-s2.0-105019326304

Klíčová slova anglicky

Numerical range; Toeplitz operator; weighted Bergman space; weighted composition operator

Štítky

MÚ, RIV27

Příznaky

Mezinárodní význam, Recenzováno

Návaznosti

GA25-18042S, projekt VaV.

Změněno: 26. 2. 2026 10:14, Mgr. Aleš Ryšavý

Anotace

V originále

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.

Citovat

SEN, Anirban; Subhadip HALDER; Riddhick BIRBONSHI a Kallol PAUL. Numerical range of Toeplitz and weighted composition operators on weighted Bergman spaces. Canadian Mathematical Bulletin. Oxford (England): Cambridge University Press, 2025, 19 s. ISSN 0008-4395. Dostupné z: https://doi.org/10.4153/S0008439525101355.

@article{90921,
   author = {Sen, Anirban and Halder, Subhadip and Birbonshi, Riddhick and Paul, Kallol},
   article_location = {Oxford (England)},
   doi = {https://doi.org/10.4153/S0008439525101355},
   keywords = {Numerical range; Toeplitz operator; weighted Bergman space; weighted composition operator},
   language = {eng},
   issn = {0008-4395},
   journal = {Canadian Mathematical Bulletin},
   title = {Numerical range of Toeplitz and weighted composition operators on weighted Bergman spaces},
   url = {https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/numerical-range-of-toeplitz-and-weighted-composition-operators-on-weighted-bergman-spaces/D01F31143F0657753D030B2CF716EA6D},
   year = {2025}
}

TY  - JOUR
ID  - 90921
AU  - Sen, Anirban - Halder, Subhadip - Birbonshi, Riddhick - Paul, Kallol
PY  - 2025
TI  - Numerical range of Toeplitz and weighted composition operators on weighted Bergman spaces
JF  - Canadian Mathematical Bulletin
PB  - Cambridge University Press
SN  - 00084395
KW  - Numerical range
KW  - Toeplitz operator
KW  - weighted Bergman space
KW  - weighted composition operator
UR  - https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/numerical-range-of-toeplitz-and-weighted-composition-operators-on-weighted-bergman-spaces/D01F31143F0657753D030B2CF716EA6D
N2  - 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.
ER  -

SEN, Anirban; Subhadip HALDER; Riddhick BIRBONSHI a Kallol PAUL. Numerical range of Toeplitz and weighted composition operators on weighted Bergman spaces. \textit{Canadian Mathematical Bulletin}. Oxford (England): Cambridge University Press, 2025, 19 s. ISSN~0008-4395. Dostupné z: https://doi.org/10.4153/S0008439525101355.

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