On Rough Singular Integrals Along Surfaces on Product Domains

In this paper, we study a class of singular integrals along surfaces on product domains with kernels in L(log L)2(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 L(log L)2(Bn-1 \times Sm-1) is known to be an optimal size condition

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Turk. J. Math., 29, (2005), 275-286. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.29, iss.3.

On Rough Singular Integrals Along Surfaces on Product Domains

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Turk. J. Math., 29, (2005), 275-286. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.29, iss.3.,

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Ahmad AL-SALMAN, Ali A. AL-JARRAH Department of Mathematics Yarmouk University Irbid-JORDAN e-mail: alsalman@yu.edu.jo