|
|||||
|
|
| 多线性奇异积分算子构成的交换子在Hardy空间的有界性 | |
| 引用本文： | 石建国,周檬,杨景发,石彦芳.多线性奇异积分算子构成的交换子在Hardy空间的有界性[J].河北大学学报(自然科学版),2011,31(2):126-129. |
| 作者姓名： | 石建国 周檬 杨景发 石彦芳 |
| 作者单位： | 1. 河北大学,数学与计算机学院,河北,保定,071002;河北软件职业技术学院,学生处,河北,保定,071000 2. 河北软件职业技术学院教务处,河北,保定,071000 3. 河北大学,物理科学与技术学院,河北,保定,071002 4. 河北软件职业技术学院,软件工程系,河北,保定,071000 |
| 基金项目： | 河北省科学技术研究与发展指导计划项目 |
| 摘 要： | 通过Hardy空间的原子分解的性质及Lp空间的有界性,证明了齐型空间中多线性奇异积分算子构成的交换子的(Hpb,Lp)有界性,从而推广了欧氏空间的性质. |
| 关 键 词： | 奇异积分 多线性交换子 BMO空间 Hardy空间 齐型空间 |
Boundedness for Multilinear Commutator of Singular Integral in Hardy on Spaces of Homogeneous Type |
|
| SHI Jian-guo,ZHOU Meng,YANG Jing-fa,SHI Yan-fang.Boundedness for Multilinear Commutator of Singular Integral in Hardy on Spaces of Homogeneous Type[J].Journal of Hebei University (Natural Science Edition),2011,31(2):126-129. | |
| Authors: | SHI Jian-guo ZHOU Meng YANG Jing-fa SHI Yan-fang |
| Institution: | 1.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China;2.Student Affairs Office,Hebei Software Institute,Baoding 071000,China;3.Teaching Affairs Office,Hebei Software Institute,Baoding 071000,China;4.College of Physics Science and Technology,Hebei University,Baoding 071002,China;5.Department of Software Engineering,Hebei Software Institute,Baoding 071000,China) |
| Abstract: | (H,Lp)type boundedness for the multilinear commutator associated with the singular integral operator on the spaces of homogeneous type is proved by means of decomposition of atoms in Hardy spaces and boundness of Lp spaces,and the properties in Euclidean Spaces are generalized. |
| Keywords: | singular integral multilinear commutator BMO Hardy space space of homogeneous type |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |