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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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/9207645 |
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| _version_ | 1832567510959915008 |
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| author | Yong Liu |
| author_facet | Yong Liu |
| author_sort | Yong Liu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-4879e5db38af4430add95723af48f043 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4879e5db38af4430add95723af48f0432025-02-03T01:01:13ZengWileyJournal 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 |
| spellingShingle | Yong Liu Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space Journal of Function Spaces |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2017/9207645 |
| work_keys_str_mv | AT yongliu lipschitztypeandblochtypespacesofpluriharmonicmappingsinahilbertspace |