Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space

Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space

We investigate some properties of pluriharmonic mappings in an infinite dimensional complex Hilbert space. Several characterizations for pluriharmonic mappings to be in Lipschitz-type and Bloch-type spaces are given, which are generalizations of the corresponding known ones for holomorphic functions...

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Main Author: Yong Liu
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/9207645
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spelling doaj-4879e5db38af4430add95723af48f0432020-11-24T22:43:23ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/92076459207645Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert SpaceYong Liu0Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000, Zhejiang Province, ChinaWe investigate some properties of pluriharmonic mappings in an infinite dimensional complex Hilbert space. Several characterizations for pluriharmonic mappings to be in Lipschitz-type and Bloch-type spaces are given, which are generalizations of the corresponding known ones for holomorphic functions with several complex variables.http://dx.doi.org/10.1155/2017/9207645
collection DOAJ
language English
format Article
sources DOAJ
author Yong Liu
spellingShingle Yong Liu
Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space
Journal of Function Spaces
author_facet Yong Liu
author_sort Yong Liu
title Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space
title_short Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space
title_full Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space
title_fullStr Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space
title_full_unstemmed Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space
title_sort lipschitz-type and bloch-type spaces of pluriharmonic mappings in a hilbert space
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2017-01-01
description We investigate some properties of pluriharmonic mappings in an infinite dimensional complex Hilbert space. Several characterizations for pluriharmonic mappings to be in Lipschitz-type and Bloch-type spaces are given, which are generalizations of the corresponding known ones for holomorphic functions with several complex variables.
url http://dx.doi.org/10.1155/2017/9207645
work_keys_str_mv AT yongliu lipschitztypeandblochtypespacesofpluriharmonicmappingsinahilbertspace
_version_ 1725696158434590720

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