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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F25%3AA0000201" target="_blank" >RIV/47813059:19610/25:A0000201 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s11785-025-01855-8" target="_blank" >https://link.springer.com/article/10.1007/s11785-025-01855-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11785-025-01855-8" target="_blank" >10.1007/s11785-025-01855-8</a>

Result language
angličtina
Original language name
On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA25-18042S" target="_blank" >GA25-18042S: Reproducing kernels in complex analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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