论文标题
Lipschitz空间通过可变lebesgue空间上的分数最大函数的换向器来表征
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces
论文作者
论文摘要
我们从可变最大功能，最大功能的换向器，最大功能或分数最大换向器的界限方面，在可变的lebesgue空间的背景下，在其中，换向器的符号属于可变的lipschitz空间。一个有用的工具是，$ b $属于且仅当$ b $属于整体类型的可变Lipschitz空间时，属于点类型的可变Lipschitz空间。
We obtain some new characterizations of a variable version of Lipschitz spaces in terms of the boundedness of commutators of sharp maximal functions, fractional maximal functions or fractional maximal commutators in the context of the variable Lebesgue spaces, where the symbols of the commutators belong to the variable Lipschitz space. A useful tool is that a symbol $b$ belongs a variable Lipschitz space of pointwise type if and only if $b$ belongs to a variable Lipschitz space of integral type.
