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AMJCUB
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.
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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     
Published: 16 July 2018
CLC:  46E35  
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MOUSSAI Madani
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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/10.1007/s11766-018-3431-1     OR     http://www.zjujournals.com/amjcub/Y2018/V33/I2/188


Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences

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 
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