Abstract
The main purpose of this paper is to provide new characterizations of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type with the “reverse” doubling property. To achieve our goal, the key idea is to prove a $T1$ theorem with only half the usual smoothness and cancellation conditions.
Citation
Fanghui Liao. Yanchang Han. Zongguang Liu. "New characterizations of Besov and Triebel–Lizorkin spaces via the $T1$ theorem." Illinois J. Math. 60 (2) 391 - 412, Summer 2016. https://doi.org/10.1215/ijm/1499760014
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