摘要
设G是局部紧的Vilenkin群。文章研究了一类具有分数次积分性质的次线性算子从H Kα,p1 q1 (G)到H Kα,p2q2 (G) (W Kα ,p2q2 (G)有界性及从H Kα,p1 q1 (G)到H Kα,p2q2 (G) (WH Kα,p2q2 (G) )有界性的判定条件。
Let G be a locally compact Vilenkin groups. In this paper, the boundedness properties of some sublinear operators with the characteristic of fractional integration from H α,p_1 _ q_1 (G) to H α,p_2 _ q_2 (G) ( or WH α,p_2 _ q_2 (G)) are obtained.
出处
《焦作大学学报》
2003年第4期32-34,共3页
Journal of Jiaozuo University