非双倍测度的Marcinkiewicz 积分高阶交换子的加权估计

摘要

In this paper, by an estimate of Sharp maximal function, the weak type estimate with Aρp(µ) weights is established for the higher order commutators generated by Marcinkiewicz integrals operators and RBMO(µ) functions, where µ is the non-doubling measure.%通过 Sharp 极大函数估计，建立了在非双倍测度下 Marcinkiewicz 积分与 RBMO(µ)函数生成的高阶交换子的弱型加权有界性。