P. Sevilla-Peris

activity

20082024

most citedMultipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables

52 citations · 255 across the 21 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.FA2013

Summation of coefficients of polynomials on $ℓ_{p}$ spaces

Verónica Dimant, Pablo Sevilla-Peris

We investigate the summability of the coefficients of $m$ -homogeneous polynomials and $m$ -linear mappings defined on $ℓ_{p}$ -spaces. In our research we obtain results on the sum…

math.FA2013★ 45 cited

Bohr's absolute convergence problem for $H_{p}$ -Dirichlet series in Banach spaces

Daniel Carando, Andreas Defant, Pablo Sevilla-Peris

The Bohr-Bohnenblust-Hille Theorem states that the width of the strip in the complex plane on which an ordinary Dirichlet series $\sum_{n} a_{n} n^{- s}$ converges uniformly but not abs…

Summation of coefficients of polynomials on ℓp​ spaces

Bohr's absolute convergence problem for Hp​-Dirichlet series in Banach spaces

Summation of coefficients of polynomials on $ℓ_{p}$ spaces

Bohr's absolute convergence problem for $H_{p}$ -Dirichlet series in Banach spaces