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Localized BMO and BLO spaces on RD-spaces and applications to Schrödinger operators

Localized BMO and BLO spaces on RD-spaces and applications to Schrödinger operators

An RD-space $\mathcal X$ is a space of homogeneoustype in the sense of Coifman and Weiss with the additional propertythat a reverse doubling condition holds in $\mathcal X$.Let $\rho$ be an admissible function on RD-space $\mathcal X$.The authors first introduce the localized spaces$BMO_\rho(\mathcal X)$ and $BLO_\rho(\mathcal X)$and establish their basic …