Weighted BMO and Carleson measures on spaces of homogeneous type ✩

In this paper we characterize the weighted BMO(ω)(X), with X a space of homogeneous type, through an adequate weighted Carleson measure. As a byproduct we can define the weighted Triebel–Lizorkin space ˙ F 0,2 ∞ (ω)(X) and obtain the identification with the above space. © 2007 Elsevier Inc. All rights reserved.