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math.FA2025
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…
math.FA2023
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…
math.FA2021
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…