A Weak-Type Expression of the Orlicz Modular

被引：0
|
作者：
Martin Křepela
Zdeněk Mihula
Javier Soria
机构：
[1] Czech Technical University in Prague,Department of Mathematics, Faculty of Electrical Engineering
[2] Complutense University of Madrid,Department of Analysis and Applied Mathematics
[3] Interdisciplinary Mathematics Institute (IMI),undefined
来源：
Mediterranean Journal of Mathematics | 2023年 / 20卷
关键词：
Orlicz modular; weak-Orlicz class; distributional approach; Maz’ya–Shaposhnikova formula; BBM formula; 46E30; 46A80; 26D10;
D O I：
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中图分类号：
学科分类号：
摘要：
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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