带可变Calderón-Zygmund核的多线性奇异积分算子在Hardy空间中的有界性
Boundedness for Multilinear Singular Integral Operator with Variable Calderón-Zygmund Kernel on Hardy Space
摘要
讨论了带可变Calderón-Zygmund核的多线性奇异积分算子在Hardy空间和Herz型Hardy空间中的有界性.
In this paper, the boundedness for some multilinear singular integral operatorswith variable Calderon-Zygmund kernel on Hardy and Herz type Hardy spaces are obtained.
出处
《江西理工大学学报》
CAS
2007年第3期60-64,共5页
Journal of Jiangxi University of Science and Technology
参考文献8
-
1Coifman R,Rochberg R,Weiss G.Factorization Theorems for Hardy Spaces in Several Variables[J].Ann of Math.,1976,103:611-635.
-
2Alvarez J.Continuity Properties for Linear Commutators of Calder ó n-Zygmund Operators[J].Collect Math.,1998,49:17-31.
-
3Calder ó n A P,Zygmund A.On Singular Integrals with Variable Kernels[J].Appl Anal,1978,7:221-238.
-
4Garcia-Cuerva J.Hardy Spaces and Beurling Algebras[J].J London Math.Soc,1989,39:499-513.
-
5Fazio G Di,Ragusa M A.Interior Estimates in Morrey Spaces for Strong Solutions to Nondivergence form Equations with Discontinuous Coefficients[J].J Func Anal,1993,112:241-256.
-
6Garcia-Cuerva J,Rubio De Francia L.Weighted Norm Inequalities and Related Topics[J].North-Holland Math,16,Amsterdam,1985.
-
7Cohen J and Gosselin J.A BMO Estimate for Multilinear Singular Integral Operators[J].Illinois J Math,1986,30:445-465.
-
8Stein E M.Harmonic Analysis:Real Variable Methods,Orthogonality and Oscillatory Integrals,Princeton Univ[J].Press,Princeton NJ,1993.
-
1徐红.带可变Calderón-Zygmund核的多线性奇异积分算子的加权连续性[J].岳阳职业技术学院学报,2007,22(1):79-86.
-
2陈伟珍,张纯洁.可变Caldero′n-Zygmund核的分数次积分算子在HK_q^(α,p)上的连续性[J].杭州师范大学学报（自然科学版）,2009,8(2):111-117.
-
3杨大春,周祖胜.Haray空间上的某些振荡奇异积分[J].北京师范大学学报（自然科学版）,1998,34(4):427-432.
-
4徐红.多线性奇异积分算子在Hardy和Herz型空间的连续性[J].长沙交通学院学报,2007,23(2):78-84.
-
5杨大春,周祖胜.带可变Calderón-Zygmund核的局部多线性振荡积分(英文)[J].数学进展,1998,27(2):143-150.
