The multilinear commutators of Hardy operator on variable central Morrey spaces(变指数中心Morrey空间的多线性Hardy算子交换子)

Abstract

With the help of the boundedness of the n-dimensional fractional Hardy operator and its adjoint operator on Lebesgue space with variable exponent, by applying hierarchical decomposition of function and real variable techniques, we obtain the boundedness of multilinear commutators generated by n-dimensional fractional Hardy operators and with λ-central BMO functions on central Morrey spaces with variable exponent.借助n维分数次Hardy算子及其共轭算子在变指数Lebesgue空间的有界性，通过应用函数的分层分解和实变技巧，得到了由n维分数次Hardy算子和λ-中心BMO函数生成的多线性交换子在变指数中心Morrey空间上的有界性。