Compact Composition Operators between Bloch Type Spaces in the Polydisk

Wulan et al. (2009), Wulan et al. characterized the compactness of composition operators on the Bloch space in the unit disk by the th power of the induced analytic function. This paper will generalize the result to the Bloch type space in the polydisk.

Saved in:
Bibliographic Details
Main Author: Zhong-Shan Fang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/732709
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832554415653912576
author Zhong-Shan Fang
author_facet Zhong-Shan Fang
author_sort Zhong-Shan Fang
collection DOAJ
description Wulan et al. (2009), Wulan et al. characterized the compactness of composition operators on the Bloch space in the unit disk by the th power of the induced analytic function. This paper will generalize the result to the Bloch type space in the polydisk.
format Article
id doaj-art-4929860f9ca54532894af15124e31569
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-4929860f9ca54532894af15124e315692025-02-03T05:51:32ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/732709732709Compact Composition Operators between Bloch Type Spaces in the PolydiskZhong-Shan Fang0Department of Mathematics, Tianjin University, Tianjin 300072, ChinaWulan et al. (2009), Wulan et al. characterized the compactness of composition operators on the Bloch space in the unit disk by the th power of the induced analytic function. This paper will generalize the result to the Bloch type space in the polydisk.http://dx.doi.org/10.1155/2012/732709
spellingShingle Zhong-Shan Fang
Compact Composition Operators between Bloch Type Spaces in the Polydisk
Abstract and Applied Analysis
title Compact Composition Operators between Bloch Type Spaces in the Polydisk
title_full Compact Composition Operators between Bloch Type Spaces in the Polydisk
title_fullStr Compact Composition Operators between Bloch Type Spaces in the Polydisk
title_full_unstemmed Compact Composition Operators between Bloch Type Spaces in the Polydisk
title_short Compact Composition Operators between Bloch Type Spaces in the Polydisk
title_sort compact composition operators between bloch type spaces in the polydisk
url http://dx.doi.org/10.1155/2012/732709
work_keys_str_mv AT zhongshanfang compactcompositionoperatorsbetweenblochtypespacesinthepolydisk