SOME PROPERTIES OF VARIABLE BESOV-TYPE SPACES

被引：13

作者：

Drihem, Douadi ^{[1
]}

机构：

[1] Msila Univ, Dept Math, Lab Funct Anal & Geometry Spaces, POB 166, Msila 28000, Nigeria

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2015年 / 52卷 / 02期

关键词：

Besov spaces; embeddings; maximal function; variable exponent;

D O I：

10.7169/facm/2015.52.2.2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we introduce Besov-type spaces with variable smoothness and integrability, which unify and generalize the Besov-type spaces with fixed exponents. Under natural regularity assumptions on the exponent functions, we show that our spaces are well-defined, i.e., independent of the choice of basis functions and we establish some properties of these function spaces. Moreover the Sobolev embeddings for these function spaces are obtained.

引用

页码：193 / 221

页数：29

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