Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures

被引：0

作者：

Jing-shi XU

机构：

[1] Hunan Normal University,Department of Mathematics

来源：

Science in China Series A: Mathematics | 2007年 / 50卷

关键词：

multilinear singular integral; commutator; maximal function; non-doubling measure; RMBO(µ) function; Primary 42B20; Secondary 42B25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RMBO(µ) functions of Tolsa with non-doubling measures is obtained, provided that ∥µ∥ = ∞ and multilinear singular integrals are bounded from L1(µ) × L1(µ) to L1/2,∞(µ).

引用

页码：361 / 376

页数：15

共 50 条

[1] Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures
Jing-shi XU Department of Mathematics
[J]. Science China Mathematics, 2007, (03) : 361 - 376
[2] Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures
Xu, Jing-shi
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (03): : 361 - 376
[3] Boundedness of multilinear singular integrals for non-doubling measures
Xu, Jingshi
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) : 471 - 480
[4] Multilinear commutators of fractional integrals over Morrey spaces with non-doubling measures
Tao, Xiangxing
Zheng, Taotao
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (03): : 287 - 308
[5] Multilinear commutators of fractional integrals over Morrey spaces with non-doubling measures
Xiangxing Tao
Taotao Zheng
[J]. Nonlinear Differential Equations and Applications NoDEA, 2011, 18 : 287 - 308
[6] The boundedness of multilinear commutators of singular integrals on lebesgue spaces with variable exponent
Xu, Jing-shi
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2007, 57 (01) : 13 - 27
[7] The boundedness of multilinear commutators of singular integrals on Lebesgue spaces with variable exponent
Jing-shi Xu
[J]. Czechoslovak Mathematical Journal, 2007, 57 : 13 - 27
[8] Multilinear commutators of singular integrals with non doubling measures
Hu, G
Meng, Y
Yang, DC
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2005, 51 (02) : 235 - 255
[9] Multilinear Commutators of Singular Integrals with Non Doubling Measures
Guoen Hu
Yan Meng
Dachun Yang
[J]. Integral Equations and Operator Theory, 2005, 51 : 235 - 255
[10] Boundedness on inhomogeneous Lipschitz spaces of fractional integrals singular integrals and hypersingular integrals associated to non-doubling measures
Gatto, A. Eduardo
[J]. COLLECTANEA MATHEMATICA, 2009, 60 (01) : 101 - 114

← 1 2 3 4 5 →