| Title:
|
Coefficient multipliers on spaces of vector-valued entire Dirichlet series (English) |
| Author:
|
Akanksha, Sharma |
| Author:
|
Srivastava, Girja S. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
142 |
| Issue:
|
3 |
| Year:
|
2017 |
| Pages:
|
299-307 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
vector-valued Dirichlet series |
| Keyword:
|
analytic function |
| Keyword:
|
entire function |
| Keyword:
|
dual space |
| Keyword:
|
norm |
| MSC:
|
30B50 |
| MSC:
|
30D15 |
| MSC:
|
42B35 |
| MSC:
|
46E40 |
| idZBL:
|
Zbl 06770147 |
| idMR:
|
MR3695468 |
| DOI:
|
10.21136/MB.2017.0026-16 |
| . |
| Date available:
|
2017-08-31T12:41:25Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146827 |
| . |
| Reference:
|
[1] Khôi, L. H.: Holomorphic Dirichlet series in the half plane.Vietnam J. Math. 26 (1998), 259-271. Zbl 0935.30002, MR 1684343 |
| Reference:
|
[2] Mandelbrojt, S.: Dirichlet series.Rice Inst. Pamphlet 31 159-272 (1944). Zbl 0063.03767, MR 0012163 |
| Reference:
|
[3] Srivastava, B. L.: A Study of Spaces of Certain Classes of Vector Valued Dirichlet Series.Thesis. Indian Institute of Technology Kanpur (1983). |
| . |
