Home > Papers

 
 
Endpoint Estimates for Maximal Commutators in non-homogeneous spaces
Guoen Hu 1,Yan Meng 2,Dachun Yang 3 * #
1.Department of Applied Mathematics, University of Information Engineering,Zhenzhou 450002, People’s Republic of China
2.School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People’s Republic of Chian
3.School of Mathematical Sciences- Beijing Normal University
*Correspondence author
#Submitted by
Subject:
Funding: NNSF ,RFDP(No.10271015,20020027004)
Opened online:17 December 2004
Accepted by: none
Citation: Guoen Hu,Yan Meng,Dachun Yang.Endpoint Estimates for Maximal Commutators in non-homogeneous spaces[OL]. [17 December 2004] http://en.paper.edu.cn/en_releasepaper/content/1365
 
 
Certain weak type endpoint estimates are established for the maximal commutators generated by Calderón-Zygmund operators and OscexpLr(μ) functions for r ≥ 1 under the condition that the underlying measure only satisfies some growth condition, where the kernels of Calderón-Zgymund operators only satisfy the standard size condition and some Hörmander type smooth condition, and OscexpLr(μ) are the spaces of Orlicz type satisfying that OscexpLr(μ)= RBMO(μ) if r=1 and OscexpLr(μ) ?RBMO(μ) if r > 1. Moreover, the same weak type endpoint estimates for the maximal operators associated with the Hardy-Littlewood maximal function and OscexpLr(μ) functions with for r≥ 1are also presented.
Keywords:Calderón-Zygmund operator, Orlicz space, maximal commutator, Hardy-Littlewood maximal function, endpoint estimate
 
 
 

For this paper

  • PDF (0B)
  • ● Revision 0   
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags

Add yours

Related Papers

Statistics

PDF Downloaded 656
Bookmarked 0
Recommend 5
Comments Array
Submit your papers