CAFFARELLI-KOHN-NIRENBERG INEQUALITIES FOR BESOV AND TRIEBEL-LIZORKIN-TYPE SPACES

被引：1

作者：

Drihem, D. ^{[1
]}

机构：

[1] Msila Univ, Lab Funct Anal & Geometry Spaces, Dept Math, Msila 28000, Algeria

来源：

EURASIAN MATHEMATICAL JOURNAL | 2023年 / 14卷 / 02期

关键词：

Besov spaces; Triebel-Lizorkin spaces; Morrey spaces; Herz spaces; Caffarelli-Kohn-Nirenb erg inequalities; HERZ-TYPE BESOV; MORREY SPACES; CLASSICAL OPERATORS; RECENT PROGRESS; NAVIER-STOKES; REAL ANALYSIS; INTERPOLATION; BOUNDEDNESS; EMBEDDINGS; EQUATIONS;

D O I：

10.32523/2077-9879-2023-14-2-24-57

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present some Caffarelli-Kohn-Nirenberg-type inequalities for Herz-type Besov-Triebel-Lizorkin spaces, Besov-Morrey and Triebel-Lizorkin-Morrey spaces. More precisely, we investigate the inequalities f k 1,r v,  c f 1- K 2, u f  K 3,1 p As and f E p,2,u c f 1- M & mu;f Nqs,,v,with some appropriate assumptions on the parameters, where k 1,r v, are the Herz-type Bessel potential spaces, which are just the Sobolev spaces if a1 = 0,1 < r = v < and a N0, and Kp 3,1As  are Besov or Triebel-Lizorkin spaces if a3 = 0 and 6.1 = p. The usual Littlewood-Paley technique, Sobolev and Franke embeddings are the main tools of this paper. Some remarks on Hardy-Sob olev inequalities are given.

引用

页码：24 / 57

页数：46

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