Note about square function estimates and uniformly rectifiable measures

Henri Martikainen; Mihalis Mourgoglou

doi:10.1090/proc/13128

Note about square function estimates and uniformly rectifiable measures

Henri Martikainen
, Mihalis Mourgoglou

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We generalise and offer a different proof of a recent L² square function estimate on uniformly rectifiable sets by Hofmann, Mitrea, Mitrea and Morris. The proof is a short argument using the α-numbers of Tolsa.

Original language	English
Pages (from-to)	3455-3463
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	8
DOIs	https://doi.org/10.1090/proc/13128
State	Published - 2016

Keywords

Square function
Uniform rectifiability
α-numbers

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abstract = "We generalise and offer a different proof of a recent L2 square function estimate on uniformly rectifiable sets by Hofmann, Mitrea, Mitrea and Morris. The proof is a short argument using the α-numbers of Tolsa.",

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KW - Uniform rectifiability

KW - α-numbers

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JF - Proceedings of the American Mathematical Society

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Note about square function estimates and uniformly rectifiable measures

Abstract

Keywords

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