The weighted Bergman spaces and complex reflection groups
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F25%3AA0000202" target="_blank" >RIV/47813059:19610/25:A0000202 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022247X25001477" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X25001477</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2025.129366" target="_blank" >10.1016/j.jmaa.2025.129366</a>
Alternative languages
Result language
angličtina
Original language name
The weighted Bergman spaces and complex reflection groups
Original language description
We consider a bounded domain Q subset of Cd which is a G-space for a finite complex reflection group G. For each one-dimensional representation of the group G, the relative invariant subspace of the weighted Bergman space on Q is isometrically isomorphic to a weighted Bergman space on the quotient domain Q/G. Consequently, formulae involving the weighted Bergman kernels and projections of Q and Q/G are established. As a result, a transformation rule for the weighted Bergman kernels under a proper holomorphic mapping with Gas its group of deck transformations is obtained in terms of the character of the sign representation of G. Explicit expressions for the weighted Bergman kernels of several quotient domains (of the form Q/G) have been deduced to demonstrate the merit of the described formulae.
Czech name
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Czech description
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Classification
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
Result continuities
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)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
1096-0813
Volume of the periodical
548
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
24
Pages from-to
„129366-1“-„129366-24“
UT code for WoS article
001434687000001
EID of the result in the Scopus database
2-s2.0-85218896355