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Title: Holomorphic Bloch spaces on the unit ball in $C^n$ (English)
Author: Harutyunyan, A. V.
Author: Lusky, W.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 50
Issue: 4
Year: 2009
Pages: 549-562
Summary lang: English
Category: math
Summary: This work is an introduction to anisotropic spaces of holomorphic functions, which have $\omega$-weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding $L_\omega ^\infty $ space. We establish a description of $(A^p(\omega ))^*$ via the Bloch classes for all $0<p\leq 1$. (English)
Keyword: weighted Bloch spaces
Keyword: projection
Keyword: inverse mapping
Keyword: dual space
MSC: 32A18
MSC: 46E15
idZBL: Zbl 1212.32005
idMR: MR2583132
Date available: 2009-12-22T09:56:41Z
Last updated: 2013-09-22
Stable URL:
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