Turkish Journal of Mathematics
DOI
-
Abstract
In this paper, we study a class of singular integrals along surfaces on product domains with kernels in L(log L)^2(S^{n-1} \times S^{m-1}). We formulate a general theorem concerning the L^p boundedness of these operators. As a consequence of this theorem we establish L^p estimates of several classes of operators whose L^p boundedness in the one parameter setting is known. The condition L(log L)^2(B^{n-1} \times S^{m-1}) is known to be an optimal size condition
First Page
275
Last Page
286
Recommended Citation
AL-SALMAN, AHMAD and AL-JARRAH, ALI A. (2005) "On Rough Singular Integrals Along Surfaces on Product Domains," Turkish Journal of Mathematics: Vol. 29: No. 3, Article 6. Available at: https://journals.tubitak.gov.tr/math/vol29/iss3/6
