Endpoint Sobolev regularity of higher order multilinear maximal commutators
摘要
We prove some new bounds and continuity for the derivatives of higherorder multilinear maximal commutators and their fractional variants,both in the centered and in the uncentered cases. The main resultsrelated to the uncentered case are new even in the linear case. Ourmain results not only represent multilinear extension of the main results of [23] but also answer a questionoriginally proposed by the first author and Ma in [23].