Carleson Measure on the Bi-Disc
Carleson Measure on the Bi-Disc
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DOI：
10.2307/1971229
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发表时间：
1979-05
影响因子：
4.9
通讯作者：
S. Chang
中科院分区：
文献类型：
--
作者：
S. Chang
本文讨论了Carleson测度在双圆盘上的一种可能的推广，并指出了一类由双调和函数诱导的Carleson测度。设D表示开单位圆盘{zIzI1，u(Re“)=(Pr*f)(0)，其中P7(0)=(1-r2)/(1-2rcos0+r2)是Poisson核。
In this paper we discuss a possible generalization of Carleson measure to the bi-disc, and indicate a class of such measures induced by bi-harmonic functions. Let D denote the open unit disc {z I I z I 1, let u(re") = (Pr *f)(0), where P7(0) = (1-r2)/(1-2r cos 0 + r2) is the Poisson kernel. The following theorem is one of the main results in [1].