P. Sevilla-Peris

activity

20082024

most citedMultipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables

52 citations · 255 across the 21 of their papers we have counts for

collaborators

28 papers

math.FA2024

Hypercontractivity and strips of convergence in Hardy spaces of general Dirichlet series

Daniel Carando, Andreas Defant, Felipe Marceca +2

For a general Dirichlet series $\sum a_{n} e^{- λ_{n} s}$ with frequency $λ = (λ_{n})_{n}$ , we study how horizontal translation (i.e. convolution with a Poisson kernel) improves its integrabi…

math.CV2022★ 1 cited

Multipliers for Hardy spaces of Dirichlet series

Tomás Fernandez Vidal, Daniel Galicer, Pablo Sevilla-Peris

We characterize the space of multipliers from the Hardy space of Dirichlet series $H_{p}$ into $H_{q}$ for every $1 \leq p, q \leq \infty$ . For a fixed Dirichlet serie…

math.FA2020

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…

math.FA2020

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 $\sum a_{n} n^{- s}$ due to J.~Bonet, we study topological and geometrical properties of certain scales of…

math.FA2020

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:…

math.FA2020

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…

math.FA2020

Hardy space of translated Dirichlet series

Tomás Fernández Vidal, Daniel Galicer, Martín Mereb +1

We study the Hardy space of translated Dirichlet series $H_{+}$ . It consists on those Dirichlet series $\sum a_{n} n^{- s}$ such that for some (equivalently, every) $1 \leq…

math.FA2019★ 6 cited

Mean ergodic composition operators in spaces of homogeneous polynomials

David Jornet, Daniel Santacreu, Pablo Sevilla-Peris

We study some dynamical properties of composition operators defined on the space $P (^{m} X)$ of $m$ -homogeneous polynomials on a Banach space $X$ when $P (^{m} X)$ i…

math.FA2019

A note on the symmetry of sequence spaces

Daniel Carando, Martín Mazzitelli, Pablo Sevilla-Peris

We give a self-contained treatment of symmetric Banach sequence spaces and some of their natural properties. We are particularly interested in the symmetry of the norm and the exis…

math.CV2019★ 8 cited

Monomial convergence on $ℓ_{r}$

Daniel Galicer, Martín Mansilla, Santiago Muro +1

For $1 < r \leq 2$ , we study the set of monomial convergence for spaces of holomorphic functions over $ℓ_{r}$ . For $H_{b} (ℓ_{r})$ , the space of entire functions of bounded type in…

math.FA2019

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 $H_{p} (X)$ with th…

math.FA2019

Composition operators on spaces of double Dirichlet series

Frédéric Bayart, Jaime Castillo-Medina, Domingo García +2

We study composition operators on spaces of double Dirichlet series, focusing our interest on the characterization of the composition operators of the space of bounded double Diric…

math.FA2018★ 6 cited

A note on abscissas of Dirichlet series

Andreas Defant, Antonio Pérez, Pablo Sevilla-Peris

We present an abstract approach to the abscissas of convergence of vector-valued Dirichlet series. As a consequence we deduce that the abscissas for Hardy spaces of Dirichlet serie…

math-ph2018★ 2 cited

Composition operators on weighted spaces of holomorphic functions on $J B^{*} -$ triples

Michael Mackey, Pablo Sevilla-Peris, José A. Vallejo

We characterise continuity of composition operators on weighted spaces of holomorphic functions $H_{v} (B_{X})$ , where $B_{X}$ is the open unit ball of a Banach space which is homog…

math.FA2017

Cluster values for algebras of analytic functions

Daniel Carando, Daniel Galicer, Santiago Muro +1

The Cluster Value Theorem is known for being a weak version of the classical Corona Theorem. Given a Banach space $X$ , we study the Cluster Value Problem for the ball algebra $A_u(…

math.FA2015

Asymptotic estimates on the von Neumann inequality for homogeneous polynomials

Daniel Galicer, Santiago Muro, Pablo Sevilla-Peris

By the von Neumann inequality for homogeneous polynomials there exists a positive constant $C_{k, q} (n)$ such that for every $k$ -homogeneous polynomial $p$ in $n$ variables and ever…

math.FA2015★ 38 cited

Some polynomial versions of cotype and applications

Daniel Carando, Andreas Defant, Pablo Sevilla-Peris

We introduce non-linear versions of the classical cotype of Banach spaces. We show that spaces with l.u.st and cotype, and that spaces having Fourier cotype enjoy our non-linear co…

math.NT2014★ 41 cited

The Dirichlet-Bohr radius

Daniel Carando, Andreas Defant, Domingo García +2

Denote by $Ω (n)$ the number of prime divisors of $n \in N$ (counted with multiplicities). For $x \in N$ define the Dirichlet-Bohr radius $L (x)$ 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 $\sum_{n} a_{n} n^{- s}$ is uniformly a.s.-sign convergent (i.e., $…

math.FA2014★ 52 cited

Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables

Frédéric Bayart, Andreas Defant, Leonhard Frerick +2

Let $H_{\infty}$ be the set of all ordinary Dirichlet series $D = \sum_{n} a_{n} n^{- s}$ representing bounded holomorphic functions on the right half plane. A multiplicative sequ…

math.FA2014

Diagonal extendible multilinear operators between $ℓ_{p}$ -spaces

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

We study extendibility of diagonal multilinear operators from $ℓ_{p}$ to $ℓ_{q}$ spaces. We determine the values of $p$ and $q$ for which every diagonal $n$ -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.FA2013

Summation of coefficients of polynomials on $ℓ_{p}$ spaces

Verónica Dimant, Pablo Sevilla-Peris

We investigate the summability of the coefficients of $m$ -homogeneous polynomials and $m$ -linear mappings defined on $ℓ_{p}$ -spaces. In our research we obtain results on the sum…

math.FA2013★ 45 cited

Bohr's absolute convergence problem for $H_{p}$ -Dirichlet series in Banach spaces

Daniel Carando, Andreas Defant, Pablo Sevilla-Peris

The Bohr-Bohnenblust-Hille Theorem states that the width of the strip in the complex plane on which an ordinary Dirichlet series $\sum_{n} a_{n} n^{- s}$ converges uniformly but not abs…

Hypercontractivity and strips of convergence in Hardy spaces of general Dirichlet series

Multipliers for Hardy spaces of Dirichlet series

Decoupling inequalities with exponential constants

Fréchet spaces of general Dirichlet series

Mean ergodic composition operators on spaces of holomorphic functions on a Banach space

A Montel-type theorem for Hardy spaces of holomorphic functions

Hardy space of translated Dirichlet series

Mean ergodic composition operators in spaces of homogeneous polynomials

A note on the symmetry of sequence spaces

Monomial convergence on ℓr​

Hausdorff-Young type inequalities for vector-valued Dirichlet series

Composition operators on spaces of double Dirichlet series

A note on abscissas of Dirichlet series

Composition operators on weighted spaces of holomorphic functions on JB∗−triples

Cluster values for algebras of analytic functions

Asymptotic estimates on the von Neumann inequality for homogeneous polynomials

Some polynomial versions of cotype and applications

The Dirichlet-Bohr radius

Almost sure-sign convergence of Hardy-type Dirichlet series

Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables

Diagonal extendible multilinear operators between ℓp​-spaces

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

Summation of coefficients of polynomials on ℓp​ spaces

Bohr's absolute convergence problem for Hp​-Dirichlet series in Banach spaces

Monomial convergence on $ℓ_{r}$

Composition operators on weighted spaces of holomorphic functions on $J B^{*} -$ triples

Diagonal extendible multilinear operators between $ℓ_{p}$ -spaces

Summation of coefficients of polynomials on $ℓ_{p}$ spaces

Bohr's absolute convergence problem for $H_{p}$ -Dirichlet series in Banach spaces