Reduction of integration domain in Triebel-Lizorkin spaces

被引：2

作者：

Rutkowski, Artur ^{[1
]}

机构：

[1] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland

来源：

STUDIA MATHEMATICA | 2021年 / 259卷 / 02期

关键词：

Triebel-Lizorkin space; fractional Sobolev space; Gagliardo seminorm; SOBOLEV SPACES; THEOREM;

D O I：

10.4064/sm190729-14-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the comparability of generalized Triebel-Lizorkin and Sobolev seminorms on uniform and nonuniform domains when the integration domain is truncated according to the distance from the boundary. We provide numerous examples of kernels and domains in which the comparability does and does not hold.

引用

页码：121 / 152

页数：32

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