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Applied Mathematics-A Journal of Chinese Universities  2018, Vol. 33 Issue (2): 188-    DOI: 10.1007/s11766-018-3431-1
    
Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences
MOUSSAI Madani
Department of Mathematics, Laboratory of Functional Analysis and Geometry of Spaces,University of M'Sila,  M'Sila 28000, Algeria.
Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences
MOUSSAI Madani
Department of Mathematics, Laboratory of Functional Analysis and Geometry of Spaces,University of M'Sila,  M'Sila 28000, Algeria.
 全文: PDF 
摘要： Based on the role of the polynomial functions on the homogeneous Besov spaces,  on the homogeneous Triebel-Lizorkin spaces and on their realized versions, we study and obtain characterizations of these spaces via difference operators in a certain sense.
关键词： homogeneous Besov space ;  homogeneous Triebel-Lizorkin space ;  Nikol'skij representation method ;  realizations ;  Hardy estimates    
Abstract: Based on the role of the polynomial functions on the homogeneous Besov spaces,  on the homogeneous Triebel-Lizorkin spaces and on their realized versions, we study and obtain characterizations of these spaces via difference operators in a certain sense.
Key words: homogeneous Besov space    homogeneous Triebel-Lizorkin space    Nikol'skij representation method    realizations    Hardy estimates
出版日期: 2018-07-16
CLC:  46E35  
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MOUSSAI Madani

引用本文:

MOUSSAI Madani. Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences[J]. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(2): 188-.

MOUSSAI Madani. Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(2): 188-.

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http://www.zjujournals.com/amjcub/CN/10.1007/s11766-018-3431-1    或    http://www.zjujournals.com/amjcub/CN/Y2018/V33/I2/188

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