Pointwise estimates for gradients of temperatures in terms of maximal functions

Abstract

We give a detailed proof, in the case of one space dimension, of a pointwise upper estimate for the space gradient of a temperature. The operators involved are a one-sided Hardy-Littlewood maximal in time and the Calderón sharp maximal operator in space.

Published: Revista de la Unión Matemática Argentina, vol. 50, no. 2, 105-114, (2009).