On Rough Singular Integrals Along Surfaces on Product Domains

Authors : Ahmad AL-SALMAN, Ali A. AL-JARRAH

Pages : 275-286

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, we study a class of singular integrals along surfaces on product domains with kernels in Linsert ignore into journalissuearticles values(log L);2insert ignore into journalissuearticles values(Sn-1 \times Sm-1);. We formulate a general theorem concerning the Lp boundedness of these operators. As a consequence of this theorem we establish Lp estimates of several classes of operators whose Lp boundedness in the one parameter setting is known. The condition Linsert ignore into journalissuearticles values(log L);2insert ignore into journalissuearticles values(Bn-1 \times Sm-1); is known to be an optimal size condition
Keywords : Turk J Math, 29, 2005, , 275 286 Turk J Math, vol 29, iss 3