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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…
Fréchet spaces of general Dirichlet series
Andreas Defant, Tomas Fernandez-Vidal, Ingo Schoolmann +1
Inspired by a recent article on Fréchet spaces of ordinary Dirichlet series due to J.~Bonet, we study topological and geometrical properties of certain scales of…
Mean ergodic composition operators on spaces of holomorphic functions on a Banach space
David Jornet, Daniel Santacreu, Pablo Sevilla-Peris
We study mean ergodic composition operators on infinite dimensional spaces of holomorphic functions of different types when defined on the unit ball of a Banach or a Hilbert space:…
A Montel-type theorem for Hardy spaces of holomorphic functions
Tomás Fernández Vidal, Daniel Galicer, Pablo Sevilla-Peris
We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. As a by-product, we provide a Montel-type theorem for the Hardy…
Hardy space of translated Dirichlet series
Tomás Fernández Vidal, Daniel Galicer, Martín Mereb +1
We study the Hardy space of translated Dirichlet series . It consists on those Dirichlet series such that for some (equivalently, every) $1 \leq…