Article
The Cesàro space of Dirichlet series and its multiplier algebra
Author/s | Bueno Contreras, José Jorge
Curbera Costello, Guillermo Delgado Garrido, Olvido |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2019 |
Deposit Date | 2021-01-15 |
Published in |
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Abstract | We consider the space H(cesp)of all Dirichlet series whose coefficients belong to the Cesàro sequence space cesp, consisting of all complex sequences whose absolute Cesàro means are in p, for 1 <p <∞. It is a Banach space ... We consider the space H(cesp)of all Dirichlet series whose coefficients belong to the Cesàro sequence space cesp, consisting of all complex sequences whose absolute Cesàro means are in p, for 1 <p <∞. It is a Banach space of analytic functions, for which we study the maximal domain of analyticity and the boundedness of point evaluations. We identify the algebra of analytic multipliers on H(cesp)as the Wiener algebra of Dirichlet series shifted to the vertical half-plane C1/q:={s ∈C: s >1/q}, where 1/p +1/q=1. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | MTM2015-65888-C4-1-P |
Citation | Bueno Contreras, J.J., Curbera Costello, G. y Delgado Garrido, O. (2019). The Cesàro space of Dirichlet series and its multiplier algebra. Journal of Mathematical Analysis and Applications, 475 (2), 1448-1471. |
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