15 citations · 62 across the 22 of their papers we have counts for
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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…
Lorentz and Gale-Ryser theorems on general measure spaces
Santiago Boza, Martin Křepela, Javier Soria
Based on the Gale-Ryser theorem for the existence of suitable -matrices for different partitions of a natural number, we revisit the classical result of G. G. Lorentz regard…
Optimal rearrangement invariant Sobolev embeddings in mixed norm spaces
Nadia Clavero, Javier Soria
We improve the Sobolev-type embeddings due to Gagliardo and Nirenberg in the setting of rearrangement invariant (r.i.) spaces. In particular we concentrate on seeking the optimal d…
Mixed norm spaces and rearrangement invariant estimates
Nadia Clavero, Javier Soria
Our main goal in this work is to further improve the mixed norm estimates due to Fournier, and also Algervik and Kolyada, to more general rearrangement invariant (r.i.) spaces. In…
Rearrangement invariant optimal range for Hardy type operators
Javier Soria, Pedro Tradacete
We characterize, in the context of rearrangement invariant spaces, the optimal range space for a class of monotone operators related to the Hardy operator. The connection between o…
Characterization of the restricted type spaces R(X)
Javier Soria, Pedro Tradacete
We study functorial properties of the spaces , introduced in [Studia Math. 197 (2010), 69-79] as a central tool in the analysis of the Hardy operator minus the identity on de…
Rearrangement transformations on general measure spaces
Santiago Boza, Javier Soria
For a general set transformation between two measure spaces, we define the rearrangement of a measurable function by means of the Layer's cake formula. We study some fun…
Sharp constants related to the triangle inequality in Lorentz spaces
Sorina Barza, Viktor Kolyada, Javier Soria
We study the Lorentz spaces in the range , for which the standard functional i…
Optimal domain for the Hardy operator
Olvido Delgado, Javier Soria
We study the optimal domain for the Hardy operator considered with values in a rearrangement invariant space. In particular, this domain can be represented as the space of integrab…