Toeplitz operators on the weighted Bergman spaces of quotient domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F23%3AA0000128" target="_blank" >RIV/47813059:19610/23:A0000128 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0007449723001148" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0007449723001148</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.bulsci.2023.103340" target="_blank" >10.1016/j.bulsci.2023.103340</a>

Result language
angličtina
Original language name
Toeplitz operators on the weighted Bergman spaces of quotient domains
Original language description
Let G be a finite pseudoreflection group and omega subset of Cd be a bounded domain which is a G-space. We establish identities involving Toeplitz operators on the weighted Bergman spaces of omega and omega/G using invariant theory and representation theory of G. This, in turn, provides techniques to study algebraic properties of Toeplitz operators on the weighted Bergman space on omega/G. We specialize on the generalized zero-product problem and characterization of commuting pairs of Toeplitz operators. As a consequence, more intricate results on Toeplitz operators on the weighted Bergman spaces on some specific quotient domains (namely symmetrized polydisc, monomial polyhedron, Rudin's domain) have been obtained.
Czech name
—
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
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA21-27941S" target="_blank" >GA21-27941S: Function theory and related operators on complex domains</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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