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多重富氏积分球形平均对Lip(1,p)函数的均匀逼近及收敛问题
The Convergence and Uniform Approximation of Spherical Summation of Multiple Fourier Integrals of Functions in Lip (1,p)
【摘要】 <正> 在一维的情形,Izumi[2]及[1]关于富里埃级数的非正阶Cesàro平均证明了以下结果（前者当β=0,后者当0<β<1）: 若p>1,f∈C2x及f∈Lip（1,p）,则
【Abstract】 We consider the Riesz spherical means of multiple Fourier integrals, defined bySuppose that the dimension n≥2 and the index δ<(n-1)/2 , where (n-1)/2 is the critical index.The main result of the present paper is the following theorem:Theorem Let p>n. Suppose f is of class C(En) and has compact support. If f ∈Lip (1,p), then
- 【文献出处】 北京大学学报(自然科学版) ,Acta Scicentiarum Naturalum Universitis Pekinesis , 编辑部邮箱 ,1983年03期
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