Coefficient multipliers on spaces of vector-valued entire Dirichlet series

Akanksha, Sharma, and Srivastava, Girja S.. "Coefficient multipliers on spaces of vector-valued entire Dirichlet series." Mathematica Bohemica 142.3 (2017): 299-307. <http://eudml.org/doc/294103>.

@article{Akanksha2017,
abstract = {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.},
author = {Akanksha, Sharma, Srivastava, Girja S.},
journal = {Mathematica Bohemica},
keywords = {vector-valued Dirichlet series; analytic function; entire function; dual space; norm},
language = {eng},
number = {3},
pages = {299-307},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Coefficient multipliers on spaces of vector-valued entire Dirichlet series},
url = {http://eudml.org/doc/294103},
volume = {142},
year = {2017},
}

TY - JOUR
AU - Akanksha, Sharma
AU - Srivastava, Girja S.
TI - Coefficient multipliers on spaces of vector-valued entire Dirichlet series
JO - Mathematica Bohemica
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 142
IS - 3
SP - 299
EP - 307
AB - 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.
LA - eng
KW - vector-valued Dirichlet series; analytic function; entire function; dual space; norm
UR - http://eudml.org/doc/294103
ER -