A general Beurling-Helson-Lowdenslager theorem on the disk

作者：Chen, Yanni^*

来源：Advances in Applied Mathematics, 2017, 87: 1-15.

DOI：10.1016/j.aam.2016.11.004

• Hardy space
• parallel to center dot parallel to(1)-dominating normalized gauge norm
• Dual space
• Invariant subspace
• Beurling-Helson-Lowdenslager theorem

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.

• 出版日期2017-6
• 单位陕西师范大学