| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4623659 | Journal of Mathematical Analysis and Applications | 2007 | 12 Pages |
Abstract
In this paper we prove the Lp boundedness of Marcinkiewicz integral operators associated to compact submanifolds of finite type under the L(logL)1/2 condition on the kernel functions. The exponent 1/2 is optimal. We also show that the Lp boundedness may fail to hold if the underlying submanifold is not required to be of finite type.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
