A weak-type expression of the Orlicz modular
arXiv:2204.13328 · doi:10.1007/s00009-023-02315-3
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.