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A DISCRETE CHARACTERIZATION OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES AND ITS APPLICATIONS
作者姓名:徐景实
作者单位:DepartmentofMathematics,HunanUniversity,Chanysha410082,China
基金项目:湖南省教育厅科研项目,湖南省自然科学基金
摘    要:In this paper, the author establishes a discrete characterization of the Herz-type Triebel-Lizorkin spaces which is used to prove the boundedness of pseudo-differential operators on these function spaces.

关 键 词:离散描述  Triebel-Lizorkin空间  Herz-型空间  伪微分算子  最大算子

A DISCRETE CHARACTERIZATION OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES AND ITS APPLICATIONS
Xu Jingshi.A DISCRETE CHARACTERIZATION OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES AND ITS APPLICATIONS[J].Acta Mathematica Scientia,2004,24(3):412-420.
Authors:Xu Jingshi
Institution:Xu Jingshi Department of Mathematics,Hunan University,Changsha 410082,China Department of Mathematics,Changsha University of Science and Technology,Changsha 410077,China
Abstract:In this paper, the author establishes a discrete characterization of the Herztype Triebel-Lizorkin spaces which is used to prove the boundedness of pseudo-differential operators on these function spaces.
Keywords:Herz-type space  Triebel-Lizorkin space  discrete characterization  pseudodifferential operator  maximal operator
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