Characterization of Lipschitz Functions on Ball Banach Function Spaces

被引:0
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作者
Müjdat Ağcayazi
Pu Zhang
机构
[1] Aydın Adnan Menderes University,Department of Mathematics and Science Education
[2] Mudanjiang Normal University,Department of Mathematics
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关键词
Commutators; maximal functions; Lipschitz functions; ball Banach function spaces; 47B47; 42B25; 42B35; 46E30;
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摘要
Our goal is to characterize the Lipschitz functions by ball Banach function space. We give some necessary and sufficient conditions of the boundedness of the maximal commutators, commutators of the Hardy–Littlewood maximal operators and commutators of the sharp maximal operators when the symbol b belongs to Lipschitz (Campanato) spaces. In light of the results to be obtained, some applications in ball Banach function spaces will also be presented.
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