广义Abel平均在实H^p(R^n)(0<p≤1)上的收敛与逼近性质

CONVERGENCE AND APPROXIMATION BEHAVIOURS OF GENERALIZED ABEL MEANS DEFINED IN H^p(R^n)(o<p≤1)

本文得到广义Abel平均在H^p(R^n)(0<p≤1)上的收敛性、以及广义Abel平均在H^p(R)(0<p≤1)、H^1(R^n)上的逼近性质。

A convergence property of generalized Abel means defined in H^p(R^n), and some approximation properties of generalized Abel means defined in H^1 (R^n) and H^p(R) (0<p≤1)are obtained.