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arXiv · 2204.13328

A weak-type expression of the Orlicz modular

Martin Křepela·Zdeněk Mihula·Javier Soria
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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.

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Martin Křepela, Zdeněk Mihula, Javier Soria. 2022-04-28. A weak-type expression of the Orlicz modular. https://doi.org/10.1007/s00009-023-02315-3

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