Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc

This work is an introduction to anisotropic spaces, which have an ω-weight of analytic functions and are generalizations of Lipshitz classes in the polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. These operators are bounded in these (L...

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Main Author:	Harutyunyan, Anahit V.
Format:	Others
Language:	English
Published:	Universität Potsdam 2001
Subjects:	Toeplitz operators anisotropic spaces polydisc good-inner function Mathematics
Online Access:	http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26110 http://opus.kobv.de/ubp/volltexte/2008/2611/

id	ndltd-Potsdam-oai-kobv.de-opus-ubp-2611
record_format	oai_dc
spelling	ndltd-Potsdam-oai-kobv.de-opus-ubp-26112013-01-08T00:54:59Z Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc Harutyunyan, Anahit V. Toeplitz operators anisotropic spaces polydisc good-inner function Mathematics This work is an introduction to anisotropic spaces, which have an ω-weight of analytic functions and are generalizations of Lipshitz classes in the polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. These operators are bounded in these (Lipshitz and Djrbashian) spaces. As an application, we show a theorem about the division by good-inner functions in the mentioned classes is proved. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik 2001 Preprint application/pdf urn:nbn:de:kobv:517-opus-26110 http://opus.kobv.de/ubp/volltexte/2008/2611/ eng http://opus.kobv.de/ubp/doku/urheberrecht.php
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	Toeplitz operators anisotropic spaces polydisc good-inner function Mathematics
spellingShingle	Toeplitz operators anisotropic spaces polydisc good-inner function Mathematics Harutyunyan, Anahit V. Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc
description	This work is an introduction to anisotropic spaces, which have an ω-weight of analytic functions and are generalizations of Lipshitz classes in the polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. These operators are bounded in these (Lipshitz and Djrbashian) spaces. As an application, we show a theorem about the division by good-inner functions in the mentioned classes is proved.
author	Harutyunyan, Anahit V.
author_facet	Harutyunyan, Anahit V.
author_sort	Harutyunyan, Anahit V.
title	Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc
title_short	Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc
title_full	Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc
title_fullStr	Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc
title_full_unstemmed	Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc
title_sort	toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc
publisher	Universität Potsdam
publishDate	2001
url	http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26110 http://opus.kobv.de/ubp/volltexte/2008/2611/
work_keys_str_mv	AT harutyunyananahitv toeplitzoperatorsanddivisiontheoremsinanisotropicspacesofholomorphicfunctionsinthepolydisc
_version_	1716501705736060928

Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc

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