Carleson measures for analytic Besov spaces

Carleson measures for analytic Besov spaces
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DOI:
10.4171/rmi/326
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发表时间:
2002-08
影响因子:
1.2
通讯作者:
N. Arcozzi;R. Rochberg;E. Sawyer
N. Arcozzi;R. Rochberg;E. Sawyer
中科院分区:
数学2区
文献类型:
--
作者:
N. Arcozzi;R. Rochberg;E. Sawyer

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我们刻画了解析Besov空间的Carleson测度。问题首先减少到一个离散的问题,涉及措施的树木,然后解决。应用Besov空间的乘子和插值序列的确定。离散定理也被应用于树上的函数空间的分析。
We characterize Carleson measures for the analytic Besov spaces. The problem is first reduced to a discrete question involving measures on trees which is then solved. Applications are given to multipliers for the Besov spaces and to the determination of interpolating sequences. The discrete theorem is also applied to analysis of function space on trees.