New characterizations of Bergman spaces

2006/12/18 by Miroslav Pavlović, Kehe Zhu, Pavlović, Miroslav +1
Mathematics · #32A36 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:32A36

paper · pdf · doi:10.48550/arxiv.math/0612531

Manuscript has been available online since the end of 2005

arxiv created 2006/12/18 · openalex publication_date 2006/12/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain several new characterizations for the standard weighted Bergman spaces A^p_α on the unit ball of \cn in terms of the radial derivative, the holomorphic gradient, and the invariant gradient.

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