A general Beurling-Helson-Lowdenslager theorem on the disk
A general Beurling-Helson-Lowdenslager theorem on the disk
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DOI：
10.1016/j.aam.2016.11.004
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发表时间：
2017-06-01
影响因子：
1.1
通讯作者：
Chen, Yanni
中科院分区：
文献类型：
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作者：
Chen, Yanni
经典的Beurling-Helson-Lowdenslager定理刻画了哈代空间H-2和Lebesgue空间L-2的平移不变子空间。在本文中，这是自包含的，我们定义了一个非常普遍的类的规范，并定义空间Ha和La。然后我们推广了Beurling Helson-Low-denslager不变子空间定理。证明的想法是新的，相当简单;大多数细节涉及扩展基本的众所周知的平行中心点平行（p）-结果，我们更一般的规范。(C)2016 Elsevier Inc. All rights reserved.
The classical Beurling-Helson-Lowdenslager theorem characterizes the shift-invariant subspaces of the Hardy space H-2 and of the Lebesgue space L-2. In this paper, which is self-contained, we define a very general class of norms a and define spaces Ha and La. We then extend the Beurling Helson-Low-denslager invariant subspace theorem. The idea of the proof is new and quite simple; most of the details involve extending basic well-known parallel to center dot parallel to(p)-results for our more general norms. (C) 2016 Elsevier Inc. All rights reserved.