15 citations · 43 across the 8 of their papers we have counts for
10 papers · 1 filter
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…
Boundedness of the Hilbert transform on weighted Lorentz spaces
Elona Agora, María J. Carro, Javier Soria
We study the boundedness of the Hilbert transform and the Hilbert maximal operator on weighted Lorentz spaces . We start by giving several necessary conditions…
Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces
Elona Agora, María J. Carro, Javier Soria
We characterize the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces , with , in terms of some geometric conditions on the weights a…
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…
Spectra for cubes in products of finite cyclic groups
Elona Agora, Sigrid Grepstad, Mihail N. Kolountzakis
We consider "cubes" in products of finite cyclic groups and we study their tiling and spectral properties. (A set in a finite group is called a tile if some of its translates form…
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…