By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces of homogeneous 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." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/164624