摘要
Lp(Rn)boundednessisconsideredforthemultilinearsingularintegraloperatordefinedbyTAf(x)=∫RnΩ(x-y)/|x-y|n+1(A(x)-A(y)-(△)A(y)(x-y))f(y)dy,whereΩishomogeneousofdegreezero,integrableontheunitsphereandhasvanishingmomentoforderone.AhasderivativesoforderoneinBMO(Rn).WegiveasmoothnessconditionwhichisfairlyweakerthanthatΩ∈Lipα(Sn-1)(0<α≤1)andimpliestheLp(Rn)(1<p<oo)boundednessfortheoperatorTA.Someendpointestimatesarealsoestablished.
出版日期
2004年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)