MULTIPARAMETER

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Equitable Presentations for Multiparameter Quantum Groups
《Acta Mathematica Sinica,English Series》2021年第10期1560-1572,共13页Nai Hong HU Yu Feng PEI Jiao ZHANG 
Supported by the National Natural Science Foundation of China (Grant Nos. 11771142, 11801394, 11871249,11871326, 11931009, 11971315, 12171155&12071094)。
In this paper, we give an equitable presentation for the multiparameter quantum group associated to a symmetrizable Kac–Moody Lie algebra, which can be regarded as a natural generalization of the Terwilliger's equita...
关键词:Quantum groups equitable presentation Hopf algebras 
Hitting Probabilities and Fractal Dimensions of Multiparameter Multifractional Brownian Motion被引量:1
《Acta Mathematica Sinica,English Series》2013年第9期1723-1742,共20页Zhen Long CHEN 
Supported by Zhejiang Provincial Natural Science Foundation of China (Grant No. Y6100663)
The main goal of this paper is to study the sample path properties for the harmonisable-type N-parameter multifractional Brownian motion, whose local regularities change as time evolves. We provide the upper and lower...
关键词:Multifractional Brownian motion hitting probability inverse image level set Hausdorff dimension packing dimension 
Multi-parameter Triebel-Lizorkin and Besov Spaces Associated with Flag Singular Integrals被引量:4
《Acta Mathematica Sinica,English Series》2010年第4期603-620,共18页Yong DING Guo Zhen LU Bo Lin MA 
supported partly by NSF of China (No. 10571015);SRFDP of China (No. 20050027025);supported by the U.S. NSF (Grant DMS No. 0500853);supported partly by NSF of China (No. 10771054);supported by NSF of China (No, 10811120558)
Though the theory of one-parameter Triebel-Lizorkin and Besov spaces has been very well developed in the past decades, the multi-parameter counterpart of such a theory is still absent. The main purpose of this paper i...
关键词:flag singular integrals multiparameter Triebel-Lizorkin spaces discrete Calderdn repro- ducing formulas discrete Littlewood-Paley-Stein analysis 
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