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By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces ofhomogeneous type in the sense of Coifman and Weiss, pointwise multipliers of inhomogeneous Besov and Triebel-Lizorkin spaces are obtained. We make no additional assumptions on the quasi-metric or the doubling measure. Hence, the results of this paper extend earlier related results to a more general setting.

Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss