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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 65-68, Pages 3671-3684
doi:10.1155/S0161171204312342

Rough singular integrals on product spaces

Ahmad Al-Salman and Hussain Al-Qassem

Department of Mathematics, Yarmouk University, Irbid, Jordan

Abstract

We study the mapping properties of singular integral operators defined by mappings of finite type. We prove that such singular integral operators are bounded on the Lebesgue spaces under the condition that the singular kernels are allowed to be in certain block spaces.