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Spaces of type BLO for non-doubling measures
Author(s):
Yinsheng
Jiang
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2101-2107.
MSC (2000):
Primary 42B20, 42B25, 42B35
Posted:
January 31, 2005
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Abstract:
The spaces of type BLO for the positive Radon measures satisfying a growth condition on  are introduced. It is shown that some properties which hold for the classical space BLO when  is a doubling measure remain valid for the spaces of type BLO introduced in this paper, without assuming  doubling.
References:
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Additional Information:
Yinsheng
Jiang
Affiliation:
Department of Mathematics, Xinjiang University, Urumqi, 830046, People's Republic of China
Email:
ysjiang@xju.edu.cn
DOI:
10.1090/S0002-9939-05-07795-6
PII:
S 0002-9939(05)07795-6
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
Posted:
January 31, 2005
Additional Notes:
The author was supported in part by NSFC Grant \#10261007.
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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