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

被引：2

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

共 50 条

[41] Sharp Caffarelli-Kohn-Nirenberg inequalities on Riemannian manifolds: the influence of curvature [J].

Van Hoang Nguyen .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (01) :102-127

[42] POSITIVE SOLUTIONS FOR ELLIPTIC EQUATIONS RELATED TO THE CAFFARELLI-KOHN-NIRENBERG INEQUALITIES [J].

Deng, Yinbin ;

Jin, Lingyu ;

Peng, Shuangjie .

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2009, 11 (02) :185-199

[43] Matrix-weighted Besov-type and Triebel-Lizorkin-type spaces I: Ap-dimensions of matrix weights and'-transform characterizations [J].

Bu, Fan ;

Hytonen, Tuomas ;

Yang, Dachun ;

Yuan, Wen .

MATHEMATISCHE ANNALEN, 2025, 391 (04) :6105-6185

[44] Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities [J].

Nguyen Thanh Chung .

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (02) :589-603

[45] JAWERTH-FRANKE EMBEDDINGS OF HERZ-TYPE BESOV AND TRIEBEL-LIZORKIN SPACES [J].

Drihem, Douadi .

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2019, 61 (02) :207-226

[46] Conic type Caffarelli-Kohn-Nirenberg inequality on manifold with conical singularity [J].

Jafari, Ali Asghar ;

Alimohammady, Mohsen .

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2019, 10 (04) :915-927

[47] Non-smooth atomic decomposition of Triebel-Lizorkin-type spaces [J].

Sawano, Yoshihiro ;

Yang, Dachun ;

Yuan, Wen .

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2024, 18 (02)

[48] Haar functions in weighted Besov and Triebel-Lizorkin spaces [J].

Malecka, Agnieszka .

JOURNAL OF APPROXIMATION THEORY, 2015, 200 :1-27

[49] A Note About a Caffarelli-Kohn-Nirenberg Type Inequality for Euclidean Submanifolds [J].

Batista, M. ;

Mirandola, H. ;

Vitorio, F. .

RESULTS IN MATHEMATICS, 2023, 78 (03)

[50] On the sharp second order Caffarelli-Kohn-Nirenberg inequality [J].

Duong, Anh Tuan ;

Nguyen, Van Hoang .

ANNALES FENNICI MATHEMATICI, 2025, 50 (01) :275-286

← 1 2 3 4 5 →