Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness

被引：10
作者：
Van Kien Nguyen [1 ,2 ]
Sickel, Winfried [1 ]
机构：
[1] Friedrich Schiller Univ Jena, Ernst Abbe Pl 2, D-07787 Jena, Germany
[2] Univ Transport & Commun, Hanoi, Vietnam
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 452卷 / 01期
关键词：
Pointwise multipliers; Sobolev spaces of dominating mixed smoothness; Besov spaces of dominating mixed smoothness;
D O I：
10.1016/j.jmaa.2017.02.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under certain restrictions we describe the set of all pointwise multipliers in case of Sobolev and Besov spaces of dominating mixed smoothness. In addition we shall give necessary and sufficient conditions for the case that these spaces form algebras with respect to pointwise multiplication. (C) 2017 Elsevier Inc. All rights reserved.
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页码：62 / 90
页数：29
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