Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (3): 328-.

• Articles • Previous Articles     Next Articles

APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKI SPACES

 XU Jing-Shi, YANG Da-Chun   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, China
    2.Department of Mathematics, Hunan University, Changsha 410082, China
  • Online:2003-07-14 Published:2003-07-14
  • Supported by:

    Received April 2, 2001; revised June 4, 2002. Xu Jingshi was partially supported by NSF of Hunan in
    China; Yang Dachun was partially supported by NNSF (10271015) and SEDF of China

Abstract:

In this paper, the authors first establish the connections between the Herz-
type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then study
the pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-
differential operators are bounded on these spaces by using pointwise multipliers.

Key words: Herz-type space, Triebel-Lizorkin space, pointwise multiplier, pseudo-
differential operator, maximal operator

CLC Number: 

  • 42B15
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