Weighted Bergman Spaces Associated with the Hyperbolic Group

被引：1

作者：

Sanchez-Nungaray, Armando ^{[1
]}

Antonio Morales-Ramos, Miguel ^{[2
]}

Del Rosario Ramirez-Mora, Maria ^{[3
]}

机构：

[1] Univ Veracruzana, Fac Matemat, Xalapa 91000, Veracruz, Mexico

[2] NovaUniversitas, Ocotlan Morelos 71510, Oax, Mexico

[3] IPN, Dept Matemat, CINVESTAV, Apartado Postal 14-740, Mexico City 07000, DF, Mexico

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2023年 / 17卷 / 01期

关键词：

Weighted Bergman spaces; Moment map; Romanovski polynomials; C-ASTERISK-ALGEBRAS; TOEPLITZ-OPERATORS; UNIT BALL;

D O I：

10.1007/s11785-022-01304-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new way of describing weighted poly-Bergman spaces and true weighted poly-Bergman spaces on the upper half-plane Pi emerges using a system of coordinatesinduced by the R+- action on Pi, the moment map associated with this action, and thestandard symplectic structure. We give an isomorphic description of such spaces usingRomanovski polynomials. We also provide a unitary description of Toeplitz operatorson these spaces whose symbols are associated with the moment map.

引用

页数：22

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