Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces

Let X,d,μ be a metric measures space satisfying the upper doubling conditions and the geometrically doubling conditions in the sense of Hytönen. Under the assumption that the dominating function satisfies the weak reverse doubling condition, the authors prove that Marcinkiewicz integral with kernel...

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Bibliographic Details
Main Authors: Ji Cheng, Guanghui Lu
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2015/318797
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