The boundedness of multilinear operators of strongly singular integral operators on Hardy spaces

被引:0
作者
Li, JF [1 ]
Lu, SZ [1 ]
机构
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
关键词
strongly singular integral operators; multilinear operators; BMO; Hardy space;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We obtain the boundedness of multilinear operator (BMO) of strongly singular integral operator T-A on L-P spaces based on the relation between commutators and multilinear operators. It is found that T-A is an (H-1, L-1) type operator, while T-A is not.
引用
收藏
页码:10 / 16
页数:7
相关论文
共 8 条
[1]   WEIGHTED ESTIMATES FOR COMMUTATORS OF LINEAR-OPERATORS [J].
ALVAREZ, J ;
BAGBY, RJ ;
KURTZ, DS ;
PEREZ, C .
STUDIA MATHEMATICA, 1993, 104 (02) :195-209
[2]   WEIGHTED NORM INEQUALITIES FOR STRONGLY SINGULAR CONVOLUTION-OPERATORS [J].
CHANILLO, S .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 281 (01) :77-107
[3]   A BMO ESTIMATE FOR MULTILINEAR SINGULAR-INTEGRALS [J].
COHEN, J ;
GOSSELIN, J .
ILLINOIS JOURNAL OF MATHEMATICS, 1986, 30 (03) :445-464
[4]   INEQUALITIES FOR STRONGLY SINGULAR CONVOLUTION OPERATORS [J].
FEFFERMAN, C .
ACTA MATHEMATICA UPPSALA, 1970, 124 (1-2) :9-+
[5]  
Fefferman C, 1972, ACTA MATH-DJURSHOLM, V129, P137, DOI 10.1007/BF02392215
[6]  
HU Y, 1985, APPROXIMATION THEORY, V3, P33
[7]   LP ESTIMATES FOR STRONGLY SINGULAR CONVOLUTION OPERATORS IN RN [J].
SJOLIN, P .
ARKIV FOR MATEMATIK, 1976, 14 (01) :59-64
[8]  
Zygmund A, 1997, TRIGONOMETRIC SERIES