Rough Marcinkiewicz integrals along certain smooth curves
- 数学科学－已发表论文 
This paper is devoted to the study of the multiple-parameter rough Marcinkiewicz integral operators associated with certain smooth curves. It is shown that the Grafakos-Stefanov type size condition F (alpha) (S (m-1) x S (n-1)) of the kernel implies the L (p) -boundedness of these Marcinkiewicz integral operators for some alpha > 1/2 and , which is an essential improvement of certain previous results.
CitationFRONTIERS OF MATHEMATICS IN CHINA,2012,7（5):857-872