Mean oscillation, weighted Bergman spaces, and Besov spaces on the Heisenberg group and atomic decomposition
type: Item
instance of: scholarly article
title: Mean oscillation, weighted Bergman spaces, and Besov spaces on the Heisenberg group and atomic decomposition
zbMATH Open document ID: 0733.32005
DOI: 10.1016/0022-247X(91)90243-S
author: Mark Feldman
published in: Journal of Mathematical Analysis and Applications
publication date: 1991-01-01T00:00:00Z
review text: In the present paper the notion of mean oscillation spaces are extended for the Heisenberg group \(H_ n\). There are established some equivalent norms for these spaces. It is given an atomic decomposition of the boundary functionals of weighted holomorphic Bergman spaces. It is proved that the Szegö kernels are inside any oscillation space and that the Cauchy-Szegö projection from the atomic spaces to the weighted Bergman spaces are bounded.
Mathematics Subject Classification ID: 32A37
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 22E30
zbMATH DE Number: 4212431
zbMATH Keywords: molecules
zbMATH Keywords: mean oscillation
zbMATH Keywords: Heisenberg group
zbMATH Keywords: atomic decomposition
zbMATH Keywords: weighted holomorphic Bergman spaces
reviewed by: Thomas V. Tonev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4212431