数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (5): 1985-1996.doi: 10.1016/S0252-9602(11)60376-7

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ANALYTIC HARDY SPACES ON THE QUANTUM TORUS

陈泽乾1|尹智1,2   

  1. 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
    2. Graduate University of Chinese Academy of Sciences, Beijing 100049, China
  • 收稿日期:2009-10-18 出版日期:2011-09-20 发布日期:2011-09-20
  • 基金资助:

    This work partially supported by NSFC (10775175).

ANALYTIC HARDY SPACES ON THE QUANTUM TORUS

 CHEN Ze-Qan1, YIN Zhi1,2   

  1. 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
    2. Graduate University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2009-10-18 Online:2011-09-20 Published:2011-09-20
  • Supported by:

    This work partially supported by NSFC (10775175).

摘要:

Analytic Hardy and BMO spaces on the quantum torus are introduced. Some basic properties of these spaces are presented. In particular, the associated H1-BMO duality theorem is proved. Finally, we discuss some possible extensions of the obtained results.

关键词: quantum torus, analytic Hardy spaces, BMO space, Hilbert transforms

Abstract:

Analytic Hardy and BMO spaces on the quantum torus are introduced. Some basic properties of these spaces are presented. In particular, the associated H1-BMO duality theorem is proved. Finally, we discuss some possible extensions of the obtained results.

Key words: quantum torus, analytic Hardy spaces, BMO space, Hilbert transforms

中图分类号: 

  • 46L52