The Hardy Spaces Estimates for the Commutator of Marcinkiewicz Integral
Received:December 18, 2006  Revised:September 04, 2007
Key Word: commutator   Marcinkiewicz integral   Lipschitz space   Hardy space   Herz type Hardy space.  
Fund ProjectL:the National Natural Science Foundation of China (No.10371080); the Key Program Foundation of Ministry of Education of China (No.108136).
Author NameAffiliation
WANG Hong Bin Department of Mathematics, China University of Mining and Technology (Beijing), Beijing 100083, China 
LIU Zong Guang Department of Mathematics, China University of Mining and Technology (Beijing), Beijing 100083, China 
Hits: 11773
Download times: 2012
Abstract:
      In this paper, we obtain the $(H^1,L^{n/(n-\beta)})$ and $(H\dot{K}^{n(1-1/q_1),p}_{q_1},\dot{K}^{n(1-1/q_1),p}_{q_2})$ type estimates for the commutator of Marcinkiewicz integral with the kernel satisfying the logarithmic type Lipschitz conditions.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.01.018
View Full Text  View/Add Comment  Download reader