%0 Journal Article
%T Estimates for compositions of maximal operators with singular integrals
%A Richard Oberlin
%J Mathematics
%D 2011
%I arXiv
%X We prove weak-type (1,1) estimates for compositions of maximal operators with singular integrals. Our main object of interest is the operator $\Delta^*\Psi$ where $\Delta^*$ is Bourgain's maximal multiplier operator and $\Psi$ is the sum of several modulated singular integrals; here our method yields a significantly improved bound for the $L^q$ operator norm when $1 < q < 2$. We also consider associated variation-norm estimates.
%U http://arxiv.org/abs/1110.1070v1