Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (3): 412-420.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 42B35
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