## Proceedings of the Centre for Mathematics and its Applications

### Boundedness of maximal operators and maximal commutators on non-homogeneous spaces

The Ahn Bui

#### Abstract

Let $(X, \mu)$ be a non-homogeneous space in the sense that $X$ is a metric space equipped with an upper doubling measure $\mu$. The aim of this paper is to study the endpoint estimate of the maximal operator associated to a Calderón-Zygmund operator $T$ and the $L^p$ boundedness of the maximal commutator with RBMO functions

#### Article information

Dates
First available in Project Euclid: 3 December 2014