Title :
Weighted endpoint estimate for the commutator of Marcinkiewicz integral
Author :
Huang, Zhi ; Zhao, Kai
Author_Institution :
Coll. of Math., Qingdao Univ., Qingdao, China
fDate :
June 29 2010-July 1 2010
Abstract :
According to the theory of atomic decomposition, we obtain the commutator of Marcinkiewicz integral with the kernel satisfying the logarithmic type Lipschitz conditions is bounded from the weighted Hardy space to the weighted Lebesgue space.
Keywords :
integral equations; Marcinkiewicz integral commutator; atomic decomposition theory; logarithmic type Lipschitz condition; weighted Hardy space; weighted Lebesgue space; weighted endpoint estimation; Marcinkiewicz integral; boundedness; commutator; weighted;
Conference_Titel :
Communication Systems, Networks and Applications (ICCSNA), 2010 Second International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-7475-2
DOI :
10.1109/ICCSNA.2010.5588837
