Abstract
Let (
, d, µ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this paper, we introduce the space RBLO(µ) and prove that it is a subset of the known space RBMO(µ) in this context. Moreover, we establish several useful characterizations for the space RBLO(µ). As an application, we obtain the boundedness of the maximal Calderón-Zygmund operators from L
∞(µ) to RBLO(µ).
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Lin, H., Yang, D. Spaces of type BLO on non-homogeneous metric measure. Front. Math. China 6, 271–292 (2011). https://doi.org/10.1007/s11464-011-0098-9
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DOI: https://doi.org/10.1007/s11464-011-0098-9