Sharp Maximal Function Inequalities and Boundedness for Commutators of Riesz Transforms of Schrodinger Operators

被引：1

作者：

Liu, Lanzhe ^{[1
]}

机构：

[1] Hunan Univ, Coll Math, Changsha 410082, Hunan, Peoples R China

来源：

NOTE DI MATEMATICA | 2011年 / 31卷 / 02期

关键词：

Commutator; Riesz transform; Schrodinger operator; Sharp maximal function; Morrey space; Triebel-Lizorkin space; Lipschitz function;

D O I：

10.1285/i15900932v31n2p53

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the sharp maximal function estimates for the commutators associated with the Riesz transforms of Schrodinger operators. As an application, we obtain the boundedness of the commutator on Lebesgue, Morrey and Triebel-Lizorkin spaces.

引用

页码：53 / 66

页数：14

共 16 条

[1] FACTORIZATION THEOREMS FOR HARDY SPACES IN SEVERAL VARIABLES [J].

COIFMAN, RR ;

ROCHBERG, R ;

WEISS, G .

ANNALS OF MATHEMATICS, 1976, 103 (03) :611-635

[2] ANOTHER CHARACTERIZATION OF BMO [J].

COIFMAN, RR ;

ROCHBERG, R .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 79 (02) :249-254

[3]

DIFAZIO G, 1991, B UNIONE MAT ITAL, V5A, P323

[4]

Garcia-Cuerva J., 1985, N HOLLAND MATH, V16

[5] Lp boundedness of commutators of Riesz transforms associated to Schrodinger operator [J].

Guo, Zihua ;

Li, Pengtao ;

Peng, Lizhong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) :421-432

[6] MEAN OSCILLATION AND COMMUTATORS OF SINGULAR INTEGRAL-OPERATORS [J].

JANSON, S .

ARKIV FOR MATEMATIK, 1978, 16 (02) :263-270

[7] Interior estimates in Morrey spaces for solutions of elliptic equations and weighted boundedness for commutators of singular integral operators [J].

Liu, LZ .

ACTA MATHEMATICA SCIENTIA, 2005, 25 (01) :89-94

[8]

Mizuhara T., 1990, C PROC, V90, P183

[9]

PALUSZYNSKI M, 1995, INDIANA U MATH J, V44, P1

[10]

Peetre J., 1969, J FUNCT ANAL, V4, P71, DOI 10.1016/0022-1236(69)90022-6

← 1 2 →