Pointwise inequalities for Sobolev functions on generalized cuspidal domains

被引：1

作者：

Zhu, Zheng ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, POB 35 MaD, FI-40014 Jyvaskyla, Finland

来源：

ANNALES FENNICI MATHEMATICI | 2022年 / 47卷 / 02期

基金：

芬兰科学院;

关键词：

Subject Primary Sobolev functions; cuspidal domains; pointwise inequality; MEASURE DENSITY;

D O I：

10.54330/afm.117881

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega subset of Rn-1 be a bounded star-shaped domain and Omega(psi) be an outward cuspidal domain with base domain Omega. We prove that for 1 < p <= infinity, W-1,W-p(Omega(psi)) = M1,p(Omega(psi)) if and only if W-1,W-p(Omega) = M1,p(Omega).

引用

页码：747 / 757

页数：11

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