Boundedness of Parametrized Littlewood-Paley Operators with Nondoubling Measures

Let μ be a nonnegative Radon measure on â„Âd which only satisfies the following growth condition that there exists a positive constant C such that μ(B(x,r))≤Crn for all x∈â„Âd, r>0 and some fixed n∈(0,d]. In this paper, the authors prove that for suitable indexes ÃÂ...

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Bibliographic Details
Main Authors: Yan Meng, Haibo Lin
Format: Article
Language:English
Published: SpringerOpen 2008-10-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/141379