H^p(Ω_n)(0<p<1)上临界阶Riesz平均强求和的逼近

STRONG APPROXIMATION OF RIESZ MEANS WITH THE CRITICAL INDEX FROM H^p(Ω_n)(0<p<1)

本文讨论了球面上Hardy空间 Hp(0 <p<1 ) 中Riesz平均的强求和在临界阶δ=np - n +12 的有界性 ,并且建立了它和最佳逼近之间的关系 .

In this article, the authors discuss the strong summability of Riesz means on Hardy space H p(Ω n)(0<p≤1) with the critical index δ=np-n+12 and also build an approximation formula for the Kfunctional.