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math.CA2005★ 3 cited
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…
math.CA2004★ 1 cited
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…
math.CA2001
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…