论文标题
Orlicz模块的弱型表达
A weak-type expression of the Orlicz modular
论文作者
论文摘要
建立了差异标准集合集的量度的等效表达。从某种意义上说，结果补充了著名的Maz'ya-Shaposhnikova公式，用于分数Gagliardo-slobodeckij seminorm及其最近扩展到Orlicz功能的设置。
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.
