15 citations · 62 across the 22 of their papers we have counts for
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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…
The least doubling constant of a metric measure space
Javier Soria, Pedro Tradacete
We study the least doubling constant , among all doubling measures supported on a metric space . In particular, we prove that for every metric space with more…
Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator
Javier Soria, Pedro Tradacete
We study different geometric properties on infinite graphs, related to the weak-type boundedness of the Hardy-Littlewood maximal averaging operator. In particular, we analyze the c…
Rubio de Francia's extrapolation theory: estimates for the distribution function
María J. Carro, Javier Soria, Rodolfo H. Torres
Let be an arbitrary operator bounded from into for every weight in the Muckenhoupt class . It is proved in this article that the…
Hardy's inequalities for monotone functions on partially ordered measure spaces
Nicola Arcozzi, Sorina Barza, Josep L. Garcia-Domingo +1
We characterize the weighted Hardy's inequalities for monotone functions in In dimension , this recovers the classical theory of weights. For , t…
Mixed norm and multidimensional Lorentz spaces
Sorina Barza, Anna Kaminska, Lars-Erik Persson +1
In the last decade, the problem of characterizing the normability of the weighted Lorentz spaces has been completely solved (\cite{Sa}, \cite{CaSoA}). However, the question for mul…
Characterization of rearrangement invariant spaces with fixed points for the Hardy-Littlewood maximal operator
Joaquim Martin, Javier Soria
We characterize the rearrangement invariant spaces for which there exists a non-constant fixed point, for the Hardy-Littlewood maximal operator (the case for the spaces $L^p(\mathb…
A counterexample to a weak-type estimate for potential spaces and tangential approach regions
Javier Soria, Olof Svensson
We show that for every nontrivial potential space , there exists an approach region for which the associated maximal function is of weak-type, but the bo…
Multidimensional rearrangement and Lorentz spaces
Sorina Barza, Lars-Erik Persson, Javier Soria
We define a multidimensional rearrangement, which is related to classical inequalities for functions that are monotone in each variable. We prove the main measure theoretical resul…
Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities
Maria J. Carro, Jose A. Raposo, Javier Soria
The main objective of this work is to bring together two well known and, a priori, unrelated theories dealing with weighted inequalities for the Hardy-Littlewood maximal operator $…
New Lorentz spaces for the restricted weak-type Hardy's inequalities
Joaquim Martin, Javier Soria
Associated to the class of restricted-weak type weights for the Hardy operator, we find a new class of Lorentz spaces for which the normability property holds. This result is analo…