Abstract
Let be a metric measure space, let be a linear operator that has a bounded -functional calculus and satisfies the Davies–Gaffney estimate, let be a concave function on of critical lower type , and let for all . In this paper, the authors introduce the generalized VMO space associated with and establish its characterization via the tent space. As applications, the authors show that , where denotes the adjoint operator of in and the Banach completion of the Orlicz– Hardy space .
Citation
Yiyu Liang. Dachun Yang. Wen Yuan. "Vanishing mean oscillation spaces associated with operators satisfying Davies–Gaffney estimates." Kyoto J. Math. 52 (2) 205 - 247, Summer 2012. https://doi.org/10.1215/21562261-1550958
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