| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4664347 | Acta Mathematica Scientia | 2011 | 18 Pages |
Abstract
In this paper, the authors study the mapping properties of singular integrals on product domains with kernels in L(log+L)ɛ(Sm-1×Sn-1)(ɛ=1 or 2) supported by hyper-surfaces. The Lp bounds for such singular integral operators as well as the related Marcinkiewicz integral operators are established, provided that the lower dimensional maximal function is bounded on Lq(R3) for all q>1. The condition on the integral kernels is known to be optimal.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
