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)

作　　者：姚璧芸[1] 

机构地区：[1]杭州大学数学与信息科学系

出　　处：《杭州大学学报（自然科学版）》1994年第3期271-274,共4页Journal of Hangzhou University Natural Science Edition

基　　金：浙江省自然科学基金

摘　　要：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.

关 键 词：CARLESON测度 高维半空间 H^P函数 

分 类 号：O174.12[理学—数学]