中国科学F辑(英文版)
中國科學F輯(英文版)
중국과학F집(영문판)
SCIENCE IN CHINA(Series F)
2003年
4期
309-320
,共12页
余纯武%陈莘萌%王昆扬%戴峰
餘純武%陳莘萌%王昆颺%戴峰
여순무%진신맹%왕곤양%대봉
Hardy space%linear means%boundedness and approximation%almost everywhere convergence
The authors discuss the boundedness and approximation properties of translation and mean operator on H1(∑) by the estimates of high degree difference on ultraspherical polynomials, atom de-composition and construct properties on sphere. Also the boundedness and approximation of linear means at all kinds of indexes on Hp(0 < p < 1) and the almost everywhere convergence of Cesaro means are established.