The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces

被引:0
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作者
Chenglong Fang
Jiang Zhou
机构
[1] Renmin University of China,School of Mathematics
[2] Xinjiang University,College of Mathematics and System Science
关键词
commutator; Lipschitz space; Herz space; Triebel-Lizorkin space; sublinear operator; 42B20; 42B25; 47B47;
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中图分类号
学科分类号
摘要
In this paper, the authors first prove the characterizations of Herz Triebel-Lizorkin spaces by two families of operators. Applying the characterizations of Herz Triebel-Lizorkin spaces, the author show that the commutators of sublinear operators with Lipschitz functions are also bounded from Herz spaces to Herz Triebel-Lizorkin spaces.
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页码:375 / 383
页数:8
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