Algebra of Calderón-Zygmund operators on spaces of homogeneous type

Applying orthonormal wavelets, Meyer proved that all Calderón- Zygmund operators satisfying T(1) = T*(1) = 0 form an algebra. In this article the same result is proved on spaces of homogeneous type introduced by Coifman and Weiss [5]. Since there is no such an orthonormal wavelet on the general setting, we apply the discrete Calderón reproducing formula developed in [13] to approach.