强奇异积分算子交换子的一个变形sharp函数估计

A Variant Sharp Function Estimate for Commutators of Strongly Singular Integral Operators

本文建立了强奇异积分算子一阶交换子的一个变形ｓｈａｒｐ函数估计。作为应用，还建立了这类交换子的加权不等式和一类Ｌｌｏｇ＋Ｌ型估计，同时还给出了此类算子的高阶交换子的类似结果。

In this paper,a variant sharp function estimate is established for commutators of strongly singular integral operators.As applications,the authors obtain the weighted norm inequalities on general weights and certain Llog +L type estimates for these commutators.A similar result is also given for higher order commutators of these operators.