Composition Operators Mapping Logarithmic Bloch Functions into Hardy Space
Characterizing the hyperbolic Hardy classes, several g-functions of hyperbolic type are introduced. Using this, necessary and sufficient conditions on the inducing self-maps are established for the boundedness of the composition operators from logarithmic Bloch spaces into Hardy spaces.
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/8150908 |
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| _version_ | 1850174227699728384 |
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| author | E. G. Kwon |
| author_facet | E. G. Kwon |
| author_sort | E. G. Kwon |
| collection | DOAJ |
| description | Characterizing the hyperbolic Hardy classes, several g-functions of hyperbolic type are introduced. Using this, necessary and sufficient conditions on the inducing self-maps are established for the boundedness of the composition operators from logarithmic Bloch spaces into Hardy spaces. |
| format | Article |
| id | doaj-art-c9dee447ab4049e284911f69d98c8bc1 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c9dee447ab4049e284911f69d98c8bc12025-08-20T02:19:42ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/81509088150908Composition Operators Mapping Logarithmic Bloch Functions into Hardy SpaceE. G. Kwon0Department of Mathematics-Education, Andong National University, Andong 36729, Republic of KoreaCharacterizing the hyperbolic Hardy classes, several g-functions of hyperbolic type are introduced. Using this, necessary and sufficient conditions on the inducing self-maps are established for the boundedness of the composition operators from logarithmic Bloch spaces into Hardy spaces.http://dx.doi.org/10.1155/2018/8150908 |
| spellingShingle | E. G. Kwon Composition Operators Mapping Logarithmic Bloch Functions into Hardy Space Journal of Function Spaces |
| title | Composition Operators Mapping Logarithmic Bloch Functions into Hardy Space |
| title_full | Composition Operators Mapping Logarithmic Bloch Functions into Hardy Space |
| title_fullStr | Composition Operators Mapping Logarithmic Bloch Functions into Hardy Space |
| title_full_unstemmed | Composition Operators Mapping Logarithmic Bloch Functions into Hardy Space |
| title_short | Composition Operators Mapping Logarithmic Bloch Functions into Hardy Space |
| title_sort | composition operators mapping logarithmic bloch functions into hardy space |
| url | http://dx.doi.org/10.1155/2018/8150908 |
| work_keys_str_mv | AT egkwon compositionoperatorsmappinglogarithmicblochfunctionsintohardyspace |