Publisher： 汉斯出版社
ISSN： 2160-7605
Source： Pure Mathematics, Vol.03, Iss.01, 2013-01, pp. : 56-67
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Abstract
本文通过Carleson boxes或者Tents的方式定义了实单位球上的Carleson测度，并建立了单位球上非切极大函数、Poisson积分和Carleson测度之间的联系。作为一个应用，我们引入一种
与中单位球体上非负测度
相关的面积积分算子
，并用Carleson测度和其他方式刻画了这种使得
从
到
或从
到
有界的非负测度
。 In this paper, we introduce Carleson measures on the real unit ball in terms of Carleson boxes or tents, and establish relations among the non-tangential maximal function, Poisson integral and Carleson measures on the real unit ball. As an application, we introduce a certain area integral operator involving a nonnegative measure 
on the unit ball and characterize the measure in terms of Carleson measure and other forms such that 
maps from
to 
or from
to
.
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