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Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases
引用本文:QiangWU DaChunYANG. Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases[J]. 数学学报(英文版), 2005, 21(1): 81-94. DOI: 10.1007/s10114-004-0407-2
作者姓名:QiangWU DaChunYANG
作者单位:DepartmentofMathematics,BeijingNormalUniversity,Beijing100875,P.R.China
摘    要:In this paper, two classes of closely related multilinear singular and fractional integrals,which include the commutators as special cases, are studied and their boundedness on Herz type spaces is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases.

关 键 词:多线性算子 奇异积分 级数积分 CSMO 赫兹空间
收稿时间:2001-05-15

Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases
Qiang Wu,Da Chun Yang. Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases[J]. Acta Mathematica Sinica(English Series), 2005, 21(1): 81-94. DOI: 10.1007/s10114-004-0407-2
Authors:Qiang Wu  Da Chun Yang
Affiliation:(1) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China
Abstract:In this paper, two classes of closely related multilinear singular and fractional integrals, which include the commutators as special cases, are studied and their boundedness on Herz type spaces is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases. This project is supported by the RFDP (No. 20020027004) and NNSF (No. 10271015) of China
Keywords:Multilinear operator  Singular integral  Fractional integral  Herz space  Hardy space  Atom  CSMO
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