Turkish Journal of Mathematics
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
DOI
-
First Page
275
Last Page
286
Recommended Citation
AL-SALMAN, A, & AL-JARRAH, A. A (2005). On Rough Singular Integrals Along Surfaces on Product Domains. Turkish Journal of Mathematics 29 (3): 275-286. https://doi.org/-
