Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces  被引量:3

Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces

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作  者:XU JingShi 

机构地区:[1]Department of Mathematics,Hainan Normal University

出  处:《Science China Mathematics》2014年第2期315-331,共17页中国科学:数学(英文版)

基  金:supported by National Natural Science Foundation of China (Grant Nos.11071064,11361020 and 11226167);the Natural Science Foundation of Hainan Province (Grant Nos.111006 and 113004)

摘  要:Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces by atoms,molecules and wavelets are given.These results generalize the corresponding results for classical Besov and Triebel-Lizorkin spaces.Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces by atoms,molecules and wavelets are given.These results generalize the corresponding results for classical Besov and Triebel-Lizorkin spaces.

关 键 词:Herz space Besov space Triebel-Lizorkin space maximal operator ATOM raolecule WAVELET 

分 类 号:O174[理学—数学]

 

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