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

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.