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.
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页数：22
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