Vector-Valued Singular Integrals with Non-smooth Kernels on Spaces of Homogeneous Type

被引：2

作者：

Hung Viet Le ^{[1
]}

机构：

[1] APU Int Sch, 286 Lanh Binh Thang,Ward 11,Dist 11, Ho Chi Minh City, Vietnam

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 01期

关键词：

Commutators; Singular integrals; Maximal functions; Sharp maximal functions; BMO functions; Spaces of homogeneous type; Triebel-Lizorkin spaces; Besov spaces; MULTILINEAR COMMUTATORS; MAXIMAL FUNCTIONS; BMO FUNCTIONS; OPERATORS;

D O I：

10.1007/s11785-016-0567-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we obtain weighted norm inequalities for vector-valued singular integrals with non-smooth kernels on spaces of homogeneous type. Vector-valued commutators of singular integrals and BMO functions are also studied.

引用

页码：57 / 84

页数：28

共 25 条

[1] WEIGHTED NORM INEQUALITIES FOR THE HARDY-LITTLEWOOD MAXIMAL OPERATOR ON SPACES OF HOMOGENEOUS TYPE [J].

AIMAR, H ;

MACIAS, RA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 91 (02) :213-216

[2] WEIGHTED ESTIMATES FOR COMMUTATORS OF LINEAR-OPERATORS [J].

ALVAREZ, J ;

BAGBY, RJ ;

KURTZ, DS ;

PEREZ, C .

STUDIA MATHEMATICA, 1993, 104 (02) :195-209

[3]

[Anonymous], 1971, Lecture Notes in Mathematics

[4]

[Anonymous], 1977, Mathematical Surveys

[5]

[Anonymous], 1985, Weighted Norm Inequalities and Related Topics

[6]

Bui HQ, 1996, STUD MATH, V119, P219

[7] EXTENSIONS OF HARDY SPACES AND THEIR USE IN ANALYSIS [J].

COIFMAN, RR ;

WEISS, G .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (04) :569-645

[8]

Duong XT, 1999, REV MAT IBEROAM, V15, P233

[9] Semigroup kernels, Poisson bounds, and holomorphic functional calculus [J].

Duong, XT ;

Robinson, DW .

JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 142 (01) :89-128

[10] Commutators of BMO functions and singular integral operators with non-smooth kernels [J].

Duong, XT ;

Yan, LX .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2003, 67 (02) :187-200

← 1 2 3 →