Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains

We determine the eigenvalues of certain “fundamental” K -invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains D = G / K , for the irreducible K -types indexed by all partitions of length r = rank ( D ) .

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Vydané v:Integral equations and operator theory Ročník 93; číslo 3
Hlavný autor: Upmeier, Harald
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.06.2021
Springer Nature B.V
Predmet:
Analysis
Domains
Eigenvalues
Invariants
Mathematics
Mathematics and Statistics
Operators
Eigenvalues
Primary 39B82
Secondary 32025
Toeplitz operators
Symmetric domains
Dimension formula
ISSN:0378-620X, 1420-8989
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Popis
Shrnutí:We determine the eigenvalues of certain “fundamental” K -invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains D = G / K , for the irreducible K -types indexed by all partitions of length r = rank ( D ) .
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0378-620X
1420-8989
DOI:10.1007/s00020-021-02639-3