Resumen de Regularity in Orlicz spaces for the Poisson equation

Huilian Jia, Dongsheng Li, Lihe Wang

• In this paper, we establish a regularity theory in the Orlicz space for the Poisson equation -?u = f, where f lies in the Orlicz space with satisfying ?2 and ?2 conditions. The proof is based on standard W 2, p estimates and Hardy¿Littlewood maximal functions.