Coefficient multipliers on spaces of vector-valued entire Dirichlet series
The spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space $X$ of all entire functions defined by vector-valued Dirichlet series and study the properties of a sequence space which is defined using the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2017-10-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/142/3/mb142_3_5.pdf |
| _version_ | 1819168836264394752 |
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| author | Sharma Akanksha Girja S. Srivastava |
| author_facet | Sharma Akanksha Girja S. Srivastava |
| author_sort | Sharma Akanksha |
| collection | DOAJ |
| description | The spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space $X$ of all entire functions defined by vector-valued Dirichlet series and study the properties of a sequence space which is defined using the type of an entire function represented by vector-valued Dirichlet series. The main result concerns with obtaining the nature of the dual space of this sequence space and coefficient multipliers for some classes of vector-valued Dirichlet series. |
| first_indexed | 2024-12-22T19:09:56Z |
| format | Article |
| id | doaj.art-295d78421ac347d390167848aba83750 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-12-22T19:09:56Z |
| publishDate | 2017-10-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-295d78421ac347d390167848aba837502022-12-21T18:15:41ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362017-10-01142329930710.21136/MB.2017.0026-16MB.2017.0026-16Coefficient multipliers on spaces of vector-valued entire Dirichlet seriesSharma AkankshaGirja S. SrivastavaThe spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space $X$ of all entire functions defined by vector-valued Dirichlet series and study the properties of a sequence space which is defined using the type of an entire function represented by vector-valued Dirichlet series. The main result concerns with obtaining the nature of the dual space of this sequence space and coefficient multipliers for some classes of vector-valued Dirichlet series.http://mb.math.cas.cz/full/142/3/mb142_3_5.pdf vector-valued Dirichlet series analytic function entire function dual space norm |
| spellingShingle | Sharma Akanksha Girja S. Srivastava Coefficient multipliers on spaces of vector-valued entire Dirichlet series Mathematica Bohemica vector-valued Dirichlet series analytic function entire function dual space norm |
| title | Coefficient multipliers on spaces of vector-valued entire Dirichlet series |
| title_full | Coefficient multipliers on spaces of vector-valued entire Dirichlet series |
| title_fullStr | Coefficient multipliers on spaces of vector-valued entire Dirichlet series |
| title_full_unstemmed | Coefficient multipliers on spaces of vector-valued entire Dirichlet series |
| title_short | Coefficient multipliers on spaces of vector-valued entire Dirichlet series |
| title_sort | coefficient multipliers on spaces of vector valued entire dirichlet series |
| topic | vector-valued Dirichlet series analytic function entire function dual space norm |
| url | http://mb.math.cas.cz/full/142/3/mb142_3_5.pdf |
| work_keys_str_mv | AT sharmaakanksha coefficientmultipliersonspacesofvectorvaluedentiredirichletseries AT girjassrivastava coefficientmultipliersonspacesofvectorvaluedentiredirichletseries |