摘要
讨论当 n/(n+1)<p<1时,若 f∈H^p(T^n),它的多重 Fourier 级数的临界阶共轭 Bochner-Riesz 平均记为:(_R~δf)(x)=(m)(1-|m R|~2)~δ+e^(mx)可以得到其中:_(1/R)~*(x)=(2π)^(-n)_(|y|>1/R)f(x-y)K~*(y)dy,K~*(y)=(m)e^(m,y).
The authors set up some kind of means for the conjugate Bochner- Riesz means at critical index on T^n,and investigate its boundedness on real Hardy spaces H^p(T^n).This result gives a new size for the convergence of the conjugate Bochner-Riesz means at critical index on H^p(T^n).
出处
《北京师范大学学报(自然科学版)》
CAS
CSCD
1989年第3期12-21,共10页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金