4 citations · 8 across the 4 of their papers we have counts for
5 papers
Rearrangement-invariant norms commuting with dilations
Santiago Boza, Martin Křepela, Javier Soria
We study rearrangement-invariant spaces over for which there exists a function such that \[ \|D_rf\|_X = h(r)\|f\|_X \] for all $f\in…
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…
Discretization and antidiscretization of Lorentz norms with no restrictions on weights
Martin Křepela, Zdeněk Mihula, Hana Turčinová
We improve the discretization technique for weighted Lorentz norms by eliminating all "non-degeneracy" restrictions on the involved weights. We use the new method to provide equiva…