204 citations · 446 across the 28 of their papers we have counts for
35 papers · 1 filter
Minimal projections onto spaces of polynomials on real euclidean spheres
Andreas Defant, Daniel Galicer, Martín Mansilla +2
We investigate projection constants within classes of multivariate polynomials over finite-dimensional real Hilbert spaces. Specifically, we consider the projection constant for sp…
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…
Asymptotic insights for projection, Gordon-Lewis and Sidon constants in Boolean cube function spaces
Andreas Defant, Daniel Galicer, Martín Mansilla +2
The main aim of this work is to study important local Banach space constants for Boolean cube function spaces. Specifically, we focus on , the finite-d…
Projection constants for spaces of Dirichlet polynomials
Andreas Defant, Daniel Galicer, Martín Mansilla +2
Given a frequency sequence and a finite subset , we study the space of all Dirichlet polynomials $D(s) := \sum_{n \in…
The projection constant for the trace class
Andreas Defant, Daniel Galicer, Martín Mansilla +2
We study the projection constant of the space of operators on -dimensional Hilbert spaces, with the trace norm, . We show an integral formula for the projection…
Projection constants for spaces of multivariate polynomials
Andreas Defant, Daniel Galicer, Martín Mansilla +2
The general problem we address is to develop new methods in the study of projection constants of Banach spaces of multivariate polynomials. The relative projection constant $\bolds…