数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (3): 412-420.

• 论文 • 上一篇    下一篇

A DISCRETE CHARACTERIZATION OF
HERZ-TYPE TRIEBEL-LIZORKIN SPACES
AND ITS APPLICATIONS

XU JINGSHI   

  1. Department of Mathematics, Hunan University, Changsha 410082, China
    Department of Mathematics, Changsha University of Science and Technology, Changsha 410077, China
    E-mail:jshixu@yahoo.com.cn
  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    The Project Supported by Scientific Research Fund
    of Hunan Provincial Education Department(02C067), China; This paper was partially supported by Hunan
    NSF(01JJY3003), China

A DISCRETE CHARACTERIZATION OF
HERZ-TYPE TRIEBEL-LIZORKIN SPACES
AND ITS APPLICATIONS

XU JINGSHI   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    The Project Supported by Scientific Research Fund
    of Hunan Provincial Education Department(02C067), China; This paper was partially supported by Hunan
    NSF(01JJY3003), China

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.

Abstract:

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.

Key words: Herz-type space;Triebel-Lizorkin space;discrete characterization;pseudo-
differential operator;maximal operator

中图分类号: 

  • 42B35