Endpoint Estimates for Higher Order Maximal Commutators
极大高阶交换子的端点估计

In this paper, the authors establish that higher order maximal commutators of singular integral operator Tb, m* satisfy the following inequality |{y∈Rn:Tb, m*f(y)>λ}|≤C||b||mBMO∫Rn|f(y)|/λ (1+log+|f(y)|/λ)mdy and are bounded on Lp(Rn), 1 < p <∞, when b is a BMO function.