Commutator estimates for vector fields on variable Triebel-Lizorkin spaces

被引：3

作者：

Salah, Ben Mahmoud ^{[1
]}

Douadi, Drihem ^{[1
]}

机构：

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

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 01期

关键词：

Commutator; Vector fields; Triebel-Lizorkin space; Variable exponent; SOBOLEV SPACES; SMOOTHNESS; LEBESGUE;

D O I：

10.1007/s12215-021-00657-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present a bilinear estimate for commutators on Triebel-Lizorkin spaces with variable smoothness and integrability, and under no vanishing assumptions on the divergence of vector fields.

引用

页码：26 / 36

页数：11

共 18 条

[1]

Almeida A., 2006, J FUNCT SPACE APPL, V4, P113, DOI DOI 10.1155/2006/610535

[2]

Almeida A, 2007, Z ANAL ANWEND, V26, P179

[3]

Bahouri H, 2011, GRUNDLEHR MATH WISS, V343, P1, DOI 10.1007/978-3-642-16830-7_1

[4] On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces [J].

Chae, D .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2002, 55 (05) :654-678

[5] Variable exponent, linear growth functionals in image restoration [J].

Chen, Yunmei ;

Levine, Stacey ;

Rao, Murali .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) :1383-1406

[6]

Cruz-Uribe D, 2006, ANN ACAD SCI FENN-M, V31, P239

[7]

CruzUribe DV, 2013, APPL NUMER HARMON AN, DOI 10.1007/978-3-0348-0548-3

[8]

Diening L, 2004, MATH INEQUAL APPL, V7, P245

[9] Function spaces of variable smoothness and integrability [J].

Diening, L. ;

Hasto, P. ;

Roudenko, S. .

JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (06) :1731-1768

[10] Lebesgue and Sobolev Spaces with Variable Exponents [J].

Diening, Lars ;

Harjulehto, Petteri ;

Hasto, Peter ;

Ruzicka, Michael .

LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS, 2011, 2017 :1-+

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