EXTENSION OPERATORS ON SOBOLEV SPACES WITH DECREASING INTEGRABILITY

被引：0
作者：
Ukhlov, Alexander [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, POB 653, IL-8410501 Beer Sheva, Israel
来源：
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2020年 / 174卷 / 03期
关键词：
Sobolev spaces; Extension operators; DOMAIN EXTERIOR; MEASURE DENSITY; PEAK TOP; EXTENDABILITY; CONTINUATION; EMBEDDINGS; MAPPINGS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study extension operators on Sobolev spaces with decreasing integrability on the base of set functions associated with the operator norms. Sharp necessary conditions are given in terms of the generalized measure density condition and in terms of a weak integral equivalence of the Euclidean metric and an intrinsic metric.
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页码：381 / 388
页数：8
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