3 papers
math.FA2025
Increasingly global convergence of Hermite serie
VÃt 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.FA2025
Maximal noncompactness of embeddings into Marcinkiewicz spaces
Jan Malý, ZdenÄk Mihula, VÃt 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…
math.FA2024
Almost compact embeddings between Orlicz and Lorentz spaces
VÃt Musil, LuboÅ¡ Pick, Jakub TakáÄ
We characterize when an Orlicz space is almost compactly (uniformly absolutely continuously) embedded into a Lorentz space in terms of a balance condition involving…