A weak-type expression of the Orlicz modular
Functional Analysis
2023-02-20 v1
Abstract
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-Shaposhnikova formula for the fractional Gagliardo-Slobodeckij seminorm and its recent extension to the setting of Orlicz functions.
Keywords
Cite
@article{arxiv.2204.13328,
title = {A weak-type expression of the Orlicz modular},
author = {Martin Křepela and Zdeněk Mihula and Javier Soria},
journal= {arXiv preprint arXiv:2204.13328},
year = {2023}
}