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20082025
most citedBohr's absolute convergence problem for -Dirichlet series in Banach spaces

45 citations · 285 across the 38 of their papers we have counts for

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Showing 2014Show all

6 papers · 1 filter

math.NT2014★ 41 cited

The Dirichlet-Bohr radius

Daniel Carando, Andreas Defant, Domingo García +2

Denote by the number of prime divisors of (counted with multiplicities). For define the Dirichlet-Bohr radius to be the best $r>0…

math.FA2014

Almost sure-sign convergence of Hardy-type Dirichlet series

Daniel Carando, Andreas Defant, Pablo Sevilla-Peris

Hartman proved in 1939 that the width of the largest possible strip in the complex plane, on which a Dirichlet series is uniformly a.s.-sign convergent (i.e., $…

math.FA2014

Diagonal extendible multilinear operators between -spaces

Daniel Carando, Verónica Dimant, Pablo Sevilla-Peris +1

We study extendibility of diagonal multilinear operators from to spaces. We determine the values of and for which every diagonal -linear operator is ex…

math.FA2014★ 38 cited

The Bohnenblust--Hille inequality combined with an inequality of Helson

Daniel Carando, Andreas Defant, Pablo Sevilla-Peris

We give a variant of the Bohenblust-Hille inequality which, for certain families of polynomials, leads to constants with polynomial growth in the degree.

math.FA2014★ 1 cited

Bounded holomorphic functions attaining their norms in the bidual

Daniel Carando, Martin Mazzitelli

Under certain hypotheses on the Banach space , we prove that the set of analytic functions in (the algebra of all holomorphic and uniformly continuous functio…

math.FA2014

A Lindenstrauss theorem for some classes of multilinear mappings

D. Carando, S. Lassalle, M. Mazzitelli

Under some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multlinear ideal, then it can be approximated by multilinear mappings belonging to the s…