Averaging operators, Berezin transforms and atomic decomposition on Bergman-Herz spaces

DOI10.1007/s40879-015-0059-zzbMath1323.47039OpenAlexW926896594MaRDI QIDQ888776

Salvador Pérez-Esteva, Oscar Blasco

Publication date: 2 November 2015

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-015-0059-z

zbMATH Keywords

weighted Herz spacesweighted Bergman spacesaveraging operatorhyperbolic metricBerezin transform

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Area functions characterizations of weighted Bergman spaces

Cites Work

• Discretizations of integral operators and atomic decompositions in vector-valued weighted Bergman spaces
• The Bergman projection on weighted spaces: L¹and Herz spaces
• Remarks on weighted mixed norm spaces
• Inégalités à poids pour le projecteur de Bergman dans la boule unité de $C^{n}$
• Bounded projections and duality in mixed-norm spaces of analytic functions
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