A note on the Lebesgue differentiation theorem in spaces of homogeneous type (Q1766448)

Let \(X\) be a space of homogeneous type in the sense of Coifman and Weiss. The aim of the paper is to prove that if \(X\) is a space of homogeneous type such that the balls are subspaces of homogeneous type and \(f\) is a locally integrable function then almost every point of \(X\) is a Lebesgue point of the function \(f\).