Acta mathematica scientia, Series B >
ANALYTIC HARDY SPACES ON THE QUANTUM TORUS
Received date: 2009-10-18
Online published: 2011-09-20
Supported by
This work partially supported by NSFC (10775175).
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
CHEN Ze-Qan , YIN Zhi . ANALYTIC HARDY SPACES ON THE QUANTUM TORUS[J]. Acta mathematica scientia, Series B, 2011 , 31(5) : 1985 -1996 . DOI: 10.1016/S0252-9602(11)60376-7
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