Bloch spaces of holomorphic functions in the polydisk

Bloch spaces of holomorphic functions in the polydisk

This work is an introduction to anisotropic spaces of holomorphic functions, which have ω-weight and are generalizations of Bloch spaces to a polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. Some theorems on projection and diagonal mapp...

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Main Author: Anahit Harutyunyan
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2007/353959
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spelling doaj-b0fdd78457024329b6bc3ee5273ccce42020-11-25T00:33:46ZengHindawi LimitedJournal of Function Spaces and Applications0972-68022007-01-015321323010.1155/2007/353959Bloch spaces of holomorphic functions in the polydiskAnahit Harutyunyan0Department of Mathematics, Yerevan State University, Alex Manoogian St. 1, 375049, Yerevan, ArmeniaThis work is an introduction to anisotropic spaces of holomorphic functions, which have ω-weight and are generalizations of Bloch spaces to a polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. Some theorems on projection and diagonal mapping are proved. We establish a description of (Ap(ω))* (or (Hp(ω))* via the Bloch classes for all 0<p≤1.http://dx.doi.org/10.1155/2007/353959
collection DOAJ
language English
format Article
sources DOAJ
author Anahit Harutyunyan
spellingShingle Anahit Harutyunyan
Bloch spaces of holomorphic functions in the polydisk
Journal of Function Spaces and Applications
author_facet Anahit Harutyunyan
author_sort Anahit Harutyunyan
title Bloch spaces of holomorphic functions in the polydisk
title_short Bloch spaces of holomorphic functions in the polydisk
title_full Bloch spaces of holomorphic functions in the polydisk
title_fullStr Bloch spaces of holomorphic functions in the polydisk
title_full_unstemmed Bloch spaces of holomorphic functions in the polydisk
title_sort bloch spaces of holomorphic functions in the polydisk
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
publishDate 2007-01-01
description This work is an introduction to anisotropic spaces of holomorphic functions, which have ω-weight and are generalizations of Bloch spaces to a polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. Some theorems on projection and diagonal mapping are proved. We establish a description of (Ap(ω))* (or (Hp(ω))* via the Bloch classes for all 0<p≤1.
url http://dx.doi.org/10.1155/2007/353959
work_keys_str_mv AT anahitharutyunyan blochspacesofholomorphicfunctionsinthepolydisk
_version_ 1725315037838442496

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