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Hypercontractivity and strips of convergence in Hardy spaces of general Dirichlet series
Daniel Carando, Andreas Defant, Felipe Marceca +2
For a general Dirichlet series with frequency , we study how horizontal translation (i.e. convolution with a Poisson kernel) improves its integrabi…
Decoupling inequalities with exponential constants
Daniel Carando, Felipe Marceca, Pablo Sevilla-Peris
Decoupling inequalities disentangle complex dependence structures of random objects so that they can be analyzed by means of standard tools from the theory of independent random va…
Vector-valued general Dirichlet series
D. Carando, A. Defant, F. Marceca +1
Opened up by early contributions due to, among others, H. Bohr, Hardy-Riesz, Bohnenblust-Hille, Neder and Landau the last 20 years show a substantial revival of systematic research…
Hausdorff-Young type inequalities for vector-valued Dirichlet series
Daniel Carando, Felipe Marceca, Pablo Sevilla-Peris
We study Hausdorff-Young type inequalities for vector-valued Dirichlet series which allow to compare the norm of a Dirichlet series in the Hardy space with th…
Random unconditional convergence of vector-valued Dirichlet series
Daniel Carando, Felipe Marceca, Melisa Scotti +1
We study random unconditionality of Dirichlet series in vector-valued Hardy spaces . It is shown that a Banach space has type 2 (respectively, cotype 2) if and…
Some remarks on non-symmetric polarization
Felipe Marceca
Let be an -homogeneous polynomial given by \[P(x)= \sum_{1\leq j_1\leq \ldots \leq j_m \leq n} c_{j_1 \ldots j_m} x_{j_1}\ldots x_{j_m}.\]…