Analytic Hardy spaces on the quantum torus |
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| Authors: | Chen Zeqian Yin Zhi |
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| Institution: | aWuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;bGraduate University of Chinese Academy of Sciences, Beijing 100049, China |
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| 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. |
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| Keywords: | quantum torus analytic Hardy spaces BMO space Hilbert transforms |
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