- Turkish Journal of Mathematics
- Vol: 29 Issue: 3
- On Rough Singular Integrals Along Surfaces on Product Domains
On Rough Singular Integrals Along Surfaces on Product Domains
Authors : Ahmad Al-salman, Ali A. Al-jarrah
Pages : 275-286
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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 conditionKeywords : Turk. J. Math., 29, (2005), 275-286. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.29, iss.3.