A General Vector-Valued Beurling Theorem

作者：Chen, Yanni^*; Hadwin, Don; Zhang, Ye

来源：Integral Equations and Operator Theory, 2016, 86(3): 321-332.

DOI：10.1007/s00020-016-2330-1

• Hardy space
• Rotationally symmetric norm
• Beurling's theorem
• Invariant subspace
• Measurable cross-section

Suppose is a rotationally symmetric norm on and is a "nice" norm on where is a -finite measure on . We prove a version of Beurling's invariant subspace theorem for the space Our proof uses the version of Beurling's theorem on in Chen (Adv Appl Math, 2016) and measurable cross-section techniques. Our result significantly extends a result of Rezaei, Talebzadeh, and Shin (Int J Math Anal 6:701-707, 2012).

• 出版日期2016-11
• 单位陕西师范大学