[EN] In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space HV (U) of holomorphic functions on U has a Frechet algebra ...
[EN] We study extendibility of diagonal multilinear operators from l(p) to l(p) spaces. We determine the values of and for which every diagonal -linear operator is extendible, and those for which the only extendible ones ...
Carando, Daniel; Dimant, Veronica; Sevilla Peris, Pablo(Institute of Mathematics, Polish Academy of Sciences, 2009)
[EN] We establish Holder-type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain ...
Carando, Daniel; Defant, Andreas; García, Domingo; Maestre, Manuel; Sevilla Peris, Pablo(Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics), 2015)
[EN] Denote by Ω(n) the number of prime divisors of n ∈ N
(counted with multiplicities). For x ∈ N define the Dirichlet-Bohr radius
P
L(x) to be the best r > 0 such that for every finite Dirichlet polynomial
n≤x
...