Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (4): 461-470.

• Articles • Previous Articles     Next Articles

BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRATION ON HERZ-TYPE SPACES

 LIU Zong-Guang   

  1. Department of Mathematics, Zhejiang University, Hangzhou 310028, China
  • Received:1999-04-27 Online:2000-06-15 Published:2000-06-15

Abstract:

This paper establishes some strong type and weak type estimates for commutator
[b, Il] on Herz-type spaces, where b 2 BMO(Rn) and Il is a fractional integration
with 0 < l < n.

Key words: Herz space, weak Herz space, Herz-type Hardy space, fractional integration,
BMO(Rn) function, commutator

CLC Number: 

  • 42B20
Trendmd