Lipschitz Type Characterizations for Bergman-Orlicz Spaces and Their Applications

We give characterizations for Bergman-Orlicz spaces with standard weights via a Lipschitz type condition in the Euclidean, hyperbolic, and pseudo-hyperbolic metrics. As an application, we obtain the boundeness of the symmetric lifting operator from Bergman-Orlicz spaces on the unit disk into Bergman...

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Bibliographic Details
Published in:Acta mathematica scientia 2020-09, Vol.40 (5), p.1445-1458
Main Authors: Ma, Rumeng, Xu, Jingshi
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
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Summary:We give characterizations for Bergman-Orlicz spaces with standard weights via a Lipschitz type condition in the Euclidean, hyperbolic, and pseudo-hyperbolic metrics. As an application, we obtain the boundeness of the symmetric lifting operator from Bergman-Orlicz spaces on the unit disk into Bergman-Orlicz spaces on the bidisk.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-020-0516-8