15 citations · 51 across the 28 of their papers we have counts for
12 papers · 1 filter
Functions of Bounded Variation and Point Processes
J. Antezana, M. Levi, J. Marzo +1
We investigate the relationship between the analytical properties of functions of bounded variation and the statistical behavior of hyperuniform point processes. We establish sever…
Weak Type Boundedness of the Hardy Littlewood Maximal Operator on Weighted Lorentz Spaces
Elona Agora, Jorge Antezana, María J. Carro
The main goal of this paper is to provide a complete characterization of the weak-type boundedness of the Hardy-Littlewood maximal operator, , on weighted Lorentz spaces $Λ^p_u(…
Revisiting Yano and Zygmund extrapolation theory
Elona Agora, Jorge Antezana, Sergi Baena-Miret +1
We prove a pointwise estimate for the decreasing rearrangement of , where is any sublinear operator satisfying the weak-type boundedness $$ T:L^{p,1}(μ) \to L^{p,\infty}(ν)…
From weak type weighted inequality to pointwise estimate for the decreasing rearrangement
Elona Agora, Jorge Antezana, Sergi Baena-Miret +1
We shall prove pointwise estimates for the decreasing rearrangement of , where covers a wide range of interesting operators in Harmonic Analysis such as operators satisfyin…
Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces
Elona Agora, Jorge Antezana, María J. Carro +1
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces . As a consequence, we give the complete characterization of the strong boundedness of on these spaces…
Weighted maximal inequalities on hyperbolic spaces
Jorge Antezana, Sheldy Ombrosi
In this work we develop a weight theory in the setting of hyperbolic spaces. Our starting point is a variant of the well-known endpoint Fefferman-Stein inequality for the centered…
Interpolation by multivariate polynomials in convex domains
Jorge Antezana, Jordi Marzo, Joaquim Ortega-Cerdà
Let be a convex open set in and let be a finite subset of . We find necessary geometric conditions for to be interpolating for the space of multiva…
Model subspaces techniques to study Fourier expansions in L^2 spaces associated to singular measures
Jorge Antezana, Maria Guadalupe Garcia
Let be a probability measure on that is singular with respect to the Haar measure. In this paper we study Fourier expansions in using technique…
Tiling functions and Gabor orthonormal basis
Elona Agora, Jorge Antezana, Mihail N. Kolountzakis
We study the existence of Gabor orthonormal bases with window the characteristic function of the set W=[0,a] U [b+a, b+1] of measure 1, with a, b>0. By the symmetries of the proble…
Existence of quasicrystals and universal stable sampling and interpolation in LCA groups
E. Agora, J. Antezana, C. Cabrelli +1
We characterize all the locally compact abelian (LCA) groups that contain quasicrystals (a class of model sets). Moreover, we describe all possible quasicrystals in the group const…
Zeros of random functions generated with de Branges kernels
Jorge Antezana, Jordi Marzo, Jan-Fredrik Olsen
We study the point process given by the set of real zeros of random sums of orthonormal bases of reproducing kernels of de Branges spaces. Examples of these kernels are the cardina…
Multi-tiling sets, Riesz bases, and sampling near the critical density in LCA groups
Elona Agora, Jorge Antezana, Carlos Cabrelli
We prove the existence of sampling sets and interpolation sets near the critical density, in Paley Wiener spaces of a locally compact abelian (LCA) group G . This solves a problem…