Traces of Muckenhoupt weighted function spaces in case of distant singularities

被引：1

作者：

Haroske, Dorothee D. ^{[1
]}

Mieth, Therese ^{[1
]}

机构：

[1] Friedrich Schiller Univ Jena, Inst Math, D-07737 Jena, Germany

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2017年 / 24卷 / 03期

关键词：

Muckenhoupt weights; function spaces; traces; TRIEBEL-LIZORKIN SPACES; MOLECULAR DECOMPOSITIONS; APPROXIMATION NUMBERS; BESOV-LIPSCHITZ; INEQUALITIES; EMBEDDINGS; ENTROPY;

D O I：

10.1515/gmj-2016-0066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Besov and Triebel-Lizorkin spaces with Muckenhoupt weights which have their singularities at some distance from the set where the trace is taken. We exemplify our results for special weights of type w(x) similar to vertical bar x vertical bar(alpha). The approach is based on atomic decomposition results.

引用

页码：373 / 392

页数：20

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