R_+^(n+1)上广义Carleson测度与H^p函数的导数

The Extended Carleson Measure and the Derivatives of H^p Functions in R_+^(n+1)

在单位圆盘上广义Carleson测度与H^p函数导数的关系可以推广到高维半空间上,但只解决了2≤p≤q<∞的情形。本文继续讨论0<p<q<∞的情形。

Luecking has established a characteristic of extended Carleson measure (a-Carleson measure) represented by an integral inequality of the derivatives of Hp functions in the unit disk. We have obtained the analogue of Luecking's result on half spaces R+n+1 for the case 2≤p≤q≤. In this paper we are dealing with the remaining case 0<p<q< and showing an application.