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Spaces of type BLO for non-doubling measures

Author: Yinsheng Jiang
Journal: Proc. Amer. Math. Soc. 133 (2005), 2101-2107
MSC (2000): Primary 42B20, 42B25, 42B35
Published electronically: January 31, 2005
MathSciNet review: 2137877
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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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Additional Information

Yinsheng Jiang
Affiliation: Department of Mathematics, Xinjiang University, Urumqi, 830046, People’s Republic of China

Keywords: Non-doubling measure, RBLO($\mu$), RBMO($\mu$), Calder\'on-Zygmund maximal operator, maximal operator
Received by editor(s): November 22, 2003
Received by editor(s) in revised form: March 24, 2004
Published electronically: January 31, 2005
Additional Notes: The author was supported in part by NSFC Grant #10261007.
Communicated by: Andreas Seeger
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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