Resumen de Regularity of maximal functions associated to a critical radius function

Bruno Bongioanni, Adrian Cabral, Eleonor O. Harboure

• In this work we obtain boundedness on BMO and Lipschitz type spaces in the context of a critical radius function. We deal with a local maximal operator and a maximal operator of a one parameter family of operators with certain conditions on its kernels that can be applied to the maximal of the semigroup in the context of a Schrödinger operator.