3 citations · 6 across the 4 of their papers we have counts for
7 papers
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 $…