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Listar por autor "Defant, Andreas"

Mostrando ítems 1-10 de 10

A new multilinear insight on the classical Littlewood's 4/3-inequality

Defant, Andreas; Sevilla Peris, Pablo (Elsevier, 2009-03-01)

[EN] We unify Littlewood's classical 4/3-inequality (a forerunner of Grothendieck's inequality) together with its in-linear extension due to Bohnenblust and Hille (which originally settled Bohr's absolute convergence problem ...
BOHR'S ABSOLUTE CONVERGENCE PROBLEM FOR Hp-DIRICHLET SERIES IN BANACH SPACES

Carando, Daniel; Defant, Andreas; Sevilla Peris, Pablo (Mathematical Sciences Publishers (MSP), 2014)

[EN] The Bohr–Bohnenblust–Hille theorem states that the width of the strip in the complex plane on which an ordinary Dirichlet series P n ann −s converges uniformly but not absolutely is less than or equal to 1 2 , ...
Convergence of Dirichlet polynomials in Banach spaces

Defant, Andreas; Sevilla Peris, Pablo (American Mathematical Society, 2011-02)

[EN] Recent results on Dirichlet series Sigma(n) a(n) 1/n(s), s is an element of C, with coefficients a(n) in an infinite dimensional Banach space X show that the maximal width of uniform but not absolute convergence ...
Convergence of monomial expansions in banach spaces

Defant, Andreas; Sevilla Peris, Pablo (Oxford University Press (OUP), 2012-09)

[EN] If E is a Banach sequence space, then each holomorphic function defines a formal power series ¿ ¿ c ¿(f) z ¿. The problem of when such an expansion converges absolutely and actually represents the function goes back ...
Estimates for vector valued Dirichlet polynomials

Defant, Andreas; Schwarting, Ursula; Sevilla Peris, Pablo (Springer Verlag (Germany), 2014-09)

[EN] We estimate the -norm of finite Dirichlet polynomials with coefficients in a Banach space. Our estimates quantify several recent results on Bohr's strips of uniform but non absolute convergence of Dirichlet series in ...
Frechet spaces of general Dirichlet series

Defant, Andreas; Fernández Vidal, Tomás; Schoolmann, Ingo; Sevilla Peris, Pablo (Springer-Verlag, 2021-07)

[EN] Inspired by a recent article on Frechet spaces of ordinary Dirichlet series Sigma a(n)n(-s) due to J. Bonet, we study topological and geometrical properties of certain scales of Frechet spaces of general Dirichlet ...
Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables

Bayart, Frederic; Defant, Andreas; Frerick, Leonhard; Maestre, Manuel; Sevilla Peris, Pablo (Springer-Verlag, 2017)

[EN] Let H-infinity be the set of all ordinary Dirichlet series D = Sigma(n) a(n)(n-1) ann-s representing bounded holomorphic functions on the right half plane. A completely multiplicative sequence (b(n)) of complex numbers ...
The Bohnenblust Hille cycle of ideas from a modern point of view

Defant, Andreas; Sevilla Peris, Pablo (Adam Mickiewicz University The Faculty of Mathematics and Computer Science, 2014)

[EN] In 1931 H.F.Bohnenblust and E.Hille published a very important paper in which not only did they solve a long standing problem on convergence of Dirichlet series, but also gave a general version of a celebrated ...
THE BOHNENBLUST-HILLE INEQUALITY COMBINED WITH AN INEQUALITY OF HELSON

Carando, Daniel; Defant, Andreas; Sevilla Peris, Pablo (American Mathematical Society, 2015-12)

We give a variant of the Bohenblust-Hille inequality which, for certain families of polynomials, leads to constants with polynomial growth in the degree.
Unconditionality for m-homogeneous polynomials on l(infinity)n

Defant, Andreas; Sevilla Peris, Pablo (Institute of Mathematics, Polish Academy of Sciences, 2016)

[EN] Let x(m, n) be the unconditional basis constant of the monomial basis Z alpha, alpha is an element of N(0)n with vertical bar alpha vertical bar = m, of the Banach space of all m-homogeneous polynomials inn complex ...