Some Properties of Triebel–Lizorkin and Besov Spaces Associated with Zygmund Dilations
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 834-848

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DOI

In this paper, using Calderón’s reproducing formula and almost orthogonality estimates, we prove the lifting property and the embedding theorem of the Triebel–Lizorkin and Besov spaces associated with Zygmund dilations.
DOI : 10.4153/CMB-2016-030-9
Mots-clés : 42B20, 42B35, Triebel–Lizorkin and Besov spaces, Riesz potential, Calderón’s reproducing formula, almost orthogonality estimate, Zygmund dilation, embedding theorem
Liao, Fanghui; Liu, Zongguang. Some Properties of Triebel–Lizorkin and Besov Spaces Associated with Zygmund Dilations. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 834-848. doi: 10.4153/CMB-2016-030-9
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     author = {Liao, Fanghui and Liu, Zongguang},
     title = {Some {Properties} of {Triebel{\textendash}Lizorkin} and {Besov} {Spaces} {Associated} with {Zygmund} {Dilations}},
     journal = {Canadian mathematical bulletin},
     pages = {834--848},
     year = {2016},
     volume = {59},
     number = {4},
     doi = {10.4153/CMB-2016-030-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-030-9/}
}
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