变指数Herz-Morrey空间上的外插定理及其应用

Extrapolation and applications for Herz-Morrey spaces with variable exponents

建立了变指数Herz-Morrey空间上的外插定理,并通过此定理得到了参数型Marcinkiewicz积分算子、几何极大算子及极小算子在该空间上的映射性质.

The extrapolation theorem for Herz-Morrey space with variable exponents is established,and then the mapping properties are given for the parametric Marcinkiewicz integral,the geometric maximal operator and the minimal operator on Herz-Morrey spaces with variable exponents.