Abstract
AbstractWe refer the reader to [190], [188], [187] for a thorough exposition regarding the history and the nature of Besov and Triebel-Lizorkin spaces in the Euclidean setting. Here we are concerned with adaptations of these scales of spaces to more general ambients, which only enjoy but a small fraction of the structural richness of the Euclidean space. This is in line with efforts made in the direction of extending the standard theory of Besov and Triebel-Lizorkin spaces to the geometric measure theoretic context of spaces of homogeneous type; see, e.g., [90], [86], [91], [92], [203], [89], [152], and [206].
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