Spaces of type BLO for non-doubling measures

Jiang, Yinsheng

doi:10.1090/S0002-9939-05-07795-6

Spaces of type BLO for non-doubling measures
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Proc. Amer. Math. Soc. 133 (2005), 2101-2107 Request permission

Abstract:

The spaces of type BLO for the positive Radon measures satisfying a growth condition on $\mathbb R^d$ are introduced. It is shown that some properties which hold for the classical space BLO when $\mu$ is a doubling measure remain valid for the spaces of type BLO introduced in this paper, without assuming $\mu$ doubling.

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