Note about square function estimates and uniformly rectifiable measures

We generalise and offer a different proof of a recent L^2 square function estimate on uniformly rectifiable sets by Hofmann, Mitrea, Mitrea and Morris. The proof is a short argument using the \alpha -numbers of Tolsa.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2016-08, Vol.144 (8), p.3455-3463
Main Authors: Martikainen, Henri, Mourgoglou, Mihalis
Format: Article
Language:English
Subjects:
B. ANALYSIS
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Summary:We generalise and offer a different proof of a recent L^2 square function estimate on uniformly rectifiable sets by Hofmann, Mitrea, Mitrea and Morris. The proof is a short argument using the \alpha -numbers of Tolsa.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13128