临界阶共轭Bochner-Riesz平均在H^p(T^n)上的一类估计

A CLASS OF ESTIMATION FOR THE CONJUGATE BOCHNER-RIESZ MEANS AT CRITICAL INDEX ON H^p(T^n)

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).