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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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.
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
@article{10_4153_CMB_2016_030_9,
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/}
}
TY - JOUR AU - Liao, Fanghui AU - Liu, Zongguang TI - Some Properties of Triebel–Lizorkin and Besov Spaces Associated with Zygmund Dilations JO - Canadian mathematical bulletin PY - 2016 SP - 834 EP - 848 VL - 59 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-030-9/ DO - 10.4153/CMB-2016-030-9 ID - 10_4153_CMB_2016_030_9 ER -
%0 Journal Article %A Liao, Fanghui %A Liu, Zongguang %T Some Properties of Triebel–Lizorkin and Besov Spaces Associated with Zygmund Dilations %J Canadian mathematical bulletin %D 2016 %P 834-848 %V 59 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-030-9/ %R 10.4153/CMB-2016-030-9 %F 10_4153_CMB_2016_030_9
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