15 citations · 62 across the 22 of their papers we have counts for
26 papers
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…
Rearrangement-invariant hulls of weighted Lebesgue spaces
Martin Křepela, Zdeněk Mihula, Javier Soria
We characterize the rearrangement-invariant hull, with respect to a given measure , of weighted Lebesgue spaces. The solution leads us to first consider when this space is conta…
A weak-type expression of the Orlicz modular
Martin Křepela, Zdeněk Mihula, Javier Soria
An equivalent expression of Orlicz modulars in terms of measure of level sets of difference quotients is established. The result in a sense complements the famous Maz'ya-Shaposhnik…
Doubling constants and spectral theory on graphs
Estibalitz Durand-Cartagena, Javier Soria, Pedro Tradacete
We study the least doubling constant among all possible doubling measures defined on a (finite or infinite) graph . We show that this constant can be estimated from below by $1+…