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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Henan Univ, Inst Contemporary Math, Sch Math & Stat, Kaifeng 475004, Peoples R ChinaHenan Univ, Inst Contemporary Math, Sch Math & Stat, Kaifeng 475004, Peoples R China
Yan, Xianjie
Jia, Hongchao
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Henan Univ, Inst Contemporary Math, Sch Math & Stat, Kaifeng 475004, Peoples R ChinaHenan Univ, Inst Contemporary Math, Sch Math & Stat, Kaifeng 475004, Peoples R China
Jia, Hongchao
Yang, Dachun
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R ChinaHenan Univ, Inst Contemporary Math, Sch Math & Stat, Kaifeng 475004, Peoples R China
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R China
Zhu, Chenfeng
Yang, Dachun
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R China
Yang, Dachun
Yuan, Wen
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R China
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Hong Kong Inst Educ, Dept Math & Informat Technol, Tai Po, Hong Kong, Peoples R ChinaHong Kong Inst Educ, Dept Math & Informat Technol, Tai Po, Hong Kong, Peoples R China
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Univ Fed Sao Paulo UNIFESP, Inst Ciencia & Tecnol, Dept Matemat, Av Cesare Monsueto Giulio Lattes 1201, BR-12247014 Sao Jose Dos Campos, SP, BrazilUniv Fed Sao Paulo UNIFESP, Inst Ciencia & Tecnol, Dept Matemat, Av Cesare Monsueto Giulio Lattes 1201, BR-12247014 Sao Jose Dos Campos, SP, Brazil
Candido, Leandro
Cuth, Marek
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Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 49-83, Prague 18675 8, Czech RepublicUniv Fed Sao Paulo UNIFESP, Inst Ciencia & Tecnol, Dept Matemat, Av Cesare Monsueto Giulio Lattes 1201, BR-12247014 Sao Jose Dos Campos, SP, Brazil
Cuth, Marek
Doucha, Michal
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Czech Acad Sci, Inst Math, Zitna 25, Prague 11567 1, Czech RepublicUniv Fed Sao Paulo UNIFESP, Inst Ciencia & Tecnol, Dept Matemat, Av Cesare Monsueto Giulio Lattes 1201, BR-12247014 Sao Jose Dos Campos, SP, Brazil