We establish the L^p boundedness of singular integrals on product domains with rough kernels in L(log L)^2 and are supported by subvarieties.
AL-QASSEM, HUSSAIN (2003) "Rough Singular Integrals Along Submanifolds of Finite Type on Product Domains," Turkish Journal of Mathematics: Vol. 27: No. 4, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol27/iss4/7