Bounded mean oscillation on the polydisk
Bounded mean oscillation on the polydisk
复制标题
DOI：
10.2307/1971231
复制
发表时间：
1979-11
影响因子：
4.9
通讯作者：
R. Fefferman
中科院分区：
文献类型：
--
作者：
R. Fefferman
本文的目的是尝试了解复平面中单位圆盘 D 的哈代空间 H1 与空间 BMO ([O, 2w]) 之间的对偶性延伸到多圆盘的程度。在讨论多盘之前，让我们回顾一下一些单变量结果。在[1]中，Carleson 准确地确定了 D 上的哪些积极措施 ce 连续作用于 H'(D)，即对于哪些措施，以下成立：
The purpose of this article is to try to understand to what extent the duality between the Hardy space H1 of the unit disk, D, in the complex plane and the space BMO ([O, 2w]) extends to the polydisk. Before discussing the polydisk, let us recall some of the one variable results. In [1], Carleson determined exactly which positive measures ,ce on D act continuously on H'(D), i.e., for which measures the following holds: