Endpoint estimates for homogeneous Littlewood-Paley g-functions with non-doubling measures

Let µ be a nonnegative Radon measure on ℝd which satisfies the growth condition that there exist constants C0 > 0 and n ∈ (0, d] such that for all x ∈ ℝd and r > 0, μ(B(x,r))≤C0rn, where B(x, r) is the open ball centered at x and having radius r . In this paper, when ℝd is not an initial cube...

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Bibliographic Details
Main Authors: Dachun Yang, Dongyong Yang
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2009/284849
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