| 1 | ROUGH SINGULAR INTEGRAL OPERATORS ON HARDY- SOBOLEV SPACES显示文摘The authors study the singular integral operatorT_~Ω,α f(x)=p.v.∫_~Rn b(|y|)Ω(y′)|y|^-n-α f(x-y)dy,defined on all test functions f,where b is a bounded function,α>0,Ω(y′) is an integrable function on the unit sphere S^n-1 satisfying certain cancellation conditions.It is proved that,for n/(n+α) | ChenDaning ChenJiecheng FanDashan | 2005 | Applied Mathematics(A Journal of Chinese Universities)2005，20，1： | 3 |
| 2 | ON A HYPER HILBERT TRANSFORM显示文摘The authors define the directional hyper Hilbert transform and give its mixed norm estimate.The similar conclusions for the directional fractional integral of one dimension are also obtainedin this paper. As an application of the above results, the authors give the Lp-boundedness for aclass of the hyper singular integrals and the fractional integrals with variable kernel. Moreover,as another application of the above results, the authors prove the dimension free estimate forthe hyper Riesz transform. This is an extension of the related result obtained by Stein. | CHENJIECHENG DINGYONO FANDASHAN | 2003 | Chinese Annals of Mathematics,Series B2003，24，4： | 1 |
您所在的机构暂未开通此部分的功能，请联系管理员