Bochner-Riesz算子的变指数Lipschitz交换子在变指数空间上的有界性  

The boundedness of variable exponent Lipschitz commutator ofBochner-Riesz operator on variable exponent spaces

作　　者：齐秀文 QI Xiuwen(Department of Mathematics, Changji University, Changji 831100, China)

机构地区：[1]昌吉学院数学系,新疆昌吉831100

出　　处：《湖北大学学报（自然科学版）》2021年第1期16-21,共6页Journal of Hubei University：Natural Science

摘　　要：借助变指数Lipchitz空间范数的等价刻画,讨论Bochner-Riesz算子的变指数Lipchitz交换子从变指数Lebesgue空间到变指数Lebesgue空间的有界性,同时也证明Bochner-Riesz算子的变指数Lipchitz交换子从变指数Lebesgue空间到变指数Lipchitz空间是有界的.By the equivalent of norm of variable exponent Lipschitz space,the boundedness of variable exponent Lipschitz commutators of Bochner-Riesz operator from variable exponent Lebssgue to variable exponent Lebesgue space was discussed,It is also proved that the variable exponent Lipschitz commutators of the Bochner-Riesz operator is bounded from the variable exponent Lebesgue space to the variable exponent Lipschitz space.

关 键 词：BOCHNER-RIESZ算子 交换子 变指数Lipchitz空间 变指数Lebesgue空间 

分 类 号：O175[理学—基础数学]