Coefficient multipliers on spaces of vector-valued entire Dirichlet series
Mathematica Bohemica, Tome 142 (2017) no. 3, pp. 299-307.
Voir la notice de l'article dans Czech Digital Mathematics Library
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.
DOI :
10.21136/MB.2017.0026-16
Classification :
30B50, 30D15, 42B35, 46E40
Mots-clés : vector-valued Dirichlet series; analytic function; entire function; dual space; norm
Mots-clés : vector-valued Dirichlet series; analytic function; entire function; dual space; norm
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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 SP - 299 EP - 307 VL - 142 IS - 3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0026-16/ DO - 10.21136/MB.2017.0026-16 LA - en ID - 10_21136_MB_2017_0026_16 ER -
%0 Journal Article %A Akanksha, Sharma %A Srivastava, Girja S. %T Coefficient multipliers on spaces of vector-valued entire Dirichlet series %J Mathematica Bohemica %D 2017 %P 299-307 %V 142 %N 3 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0026-16/ %R 10.21136/MB.2017.0026-16 %G en %F 10_21136_MB_2017_0026_16
Akanksha, Sharma; Srivastava, Girja S. Coefficient multipliers on spaces of vector-valued entire Dirichlet series. Mathematica Bohemica, Tome 142 (2017) no. 3, pp. 299-307. doi : 10.21136/MB.2017.0026-16. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0026-16/
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