ANALYTIC HARDY SPACES ON THE QUANTUM TORUS 被引量：1

ANALYTIC HARDY SPACES ON THE QUANTUM TORUS

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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 H 1-BMO duality theorem is proved. Finally, we discuss some possible extensions of the obtained results. Analytic Hardy and BMO spaces on the quantum torus are introduced. Some basic properties of these spaces are presented. In particular, the associated H 1-BMO duality theorem is proved. Finally, we discuss some possible extensions of the obtained results.

作者陈泽乾尹智

机构地区 Wuhan Institute of Physics and Mathematics Graduate University of Chinese Academy of Sciences

出处《Acta Mathematica Scientia》 SCIE CSCD 2011年第5期1985-1996,共12页 数学物理学报（B辑英文版）

基金 partially supported by NSFC (10775175)

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

分类号 O153.3 [理学—基础数学]

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引证文献1

1陈泽乾,尹智.LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS[J].Acta Mathematica Scientia,2012,32(3):1255-1261.

1Meng Qu,Xinfeng Wu.BMO SPACES ASSOCIATED TO GENERALIZED PARABOLIC SECTIONS[J].Analysis in Theory and Applications,2011,27(1):1-9.
2Lin Shangyuan,You Zhefeng.REPRESENTATIONS OF A CLASS OF ASSOCIATIVE ALGEBRAS ON THE QUANTUM TORUS OF RANK n[J].哈尔滨师范大学自然科学学报,2008,24(1):22-25.
3陈泽乾,尹智.LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS[J].Acta Mathematica Scientia,2012,32(3):1255-1261.
4Fayou ZHAO,Shanzhen LU.A characterization of λ-central BMO space[J].Frontiers of Mathematics in China,2013,8(1):229-238. 被引量：3
5Ru Long XIE,Li Sheng SHU,Qian Xiang ZHANG.Boundedness for Multilinear Commutators of Bochner-Riesz Operator[J].Journal of Mathematical Research and Exposition,2011,31(6):1074-1080. 被引量：2
6Kan ZHANG,Chao Mei LIU,Yu Feng LU.Toeplitz Operators with BMO Symbols on the Weighted Bergman Space of the Unit Ball[J].Acta Mathematica Sinica,English Series,2011,27(11):2129-2142. 被引量：1
7FANG Qi-quan SHI Xian-liang.Estimates for parametric Marcinkiewicz integrals in BMOand Campanato spaces[J].Applied Mathematics(A Journal of Chinese Universities),2011,26(2):230-252.
8Shang Yuan LIN,Bin XIN.Representations of a Noncommutative Associative Algebra Related to Quantum Torus of Rank Three[J].Acta Mathematica Sinica,English Series,2005,21(6):1521-1524. 被引量：6
9杨奇祥.L^p CONTINUITY OF HRMANDER SYMBOL OPERATORS OpS_(0,0) ~m AND NUMERICAL ALGORITHM[J].Acta Mathematica Scientia,2011,31(4):1517-1534.
10李澎涛,彭立中.L^p BOUNDEDNESS OF COMMUTATOR OPERATOR ASSOCIATED WITH SCHRDINGER OPERATORS ON HEISENBERG GROUP[J].Acta Mathematica Scientia,2012,32(2):568-578. 被引量：3

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ANALYTIC HARDY SPACES ON THE QUANTUM TORUS 被引量：1

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