ALGEBRA OF CALDER´ON-ZYGMUND OPERATORS ON SPACES OF HOMOGENEOUS TYPE

Abstract

Applying orthonormal wavelets, Meyer proved that all Calder\'on-\break 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 Calder\'on reproducing formula developed in [13] to approach.