Frontiers of Mathematics in China >
Spaces of type BLO on non-homogeneous metric measure
Received date: 11 Nov 2010
Accepted date: 06 Dec 2010
Published date: 01 Apr 2011
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Let 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 to RBLO(μ).
Haibo LIN , Dachun YANG . Spaces of type BLO on non-homogeneous metric measure[J]. Frontiers of Mathematics in China, 2011 , 6(2) : 271 -292 . DOI: 10.1007/s11464-011-0098-9
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