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math.FA2024
Almost compact embeddings between Orlicz and Lorentz spaces
Vít Musil, Luboš Pick, Jakub Takáč
We characterize when an Orlicz space is almost compactly (uniformly absolutely continuously) embedded into a Lorentz space in terms of a balance condition involving…
math.FA2024
Increasingly global convergence of Hermite serie
Vít Musil, S. Spektor
We study the convergence of the Hermite series of measurable functions on the real line. We characterize the norm convergence of truncated partial Hermite sums in rearrangement inv…
math.FA2024
Maximal noncompactness of embeddings into Marcinkiewicz spaces
Jan Malý, Zdeněk Mihula, Vít Musil +1
We develop a new functional-analytic technique for investigating the degree of noncompactness of an operator defined on a quasinormed space and taking values in a Marcinkiewicz spa…