A proof of Carleson's ε2-conjecture

Benjamin Jaye; Xavier Tolsa; Michele Villa

doi:10.4007/annals.2021.194.1.2

A proof of Carleson's ε²-conjecture

Benjamin Jaye, Xavier Tolsa, Michele Villa

Departament de Matemàtiques

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4 Cites (Scopus)

Resum

In this paper we provide a proof of the Carleson ε2-conjecture. This result yields a characterization (up to exceptional sets of zero length) of the tangent points of a Jordan curve in terms of the finiteness of the associated Carleson ε2-square function.

Idioma original	Anglès
Pàgines (de-a)	97-161
Nombre de pàgines	65
Revista	Annals of Mathematics
Volum	194
Número	1
DOIs	https://doi.org/10.4007/annals.2021.194.1.2
Estat de la publicació	Publicada - 1 de jul. 2021

Accés al document

10.4007/annals.2021.194.1.2

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Link to publication in Scopus

Com citar-ho

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abstract = "In this paper we provide a proof of the Carleson ε2-conjecture. This result yields a characterization (up to exceptional sets of zero length) of the tangent points of a Jordan curve in terms of the finiteness of the associated Carleson ε2-square function.",

keywords = "Jordan c, Rectifiability, Square function, Tangent",

author = "Benjamin Jaye and Xavier Tolsa and Michele Villa",

year = "2021",

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doi = "10.4007/annals.2021.194.1.2",

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AU - Tolsa, Xavier

AU - Villa, Michele

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KW - Jordan c

KW - Rectifiability

KW - Square function

KW - Tangent

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U2 - 10.4007/annals.2021.194.1.2

DO - 10.4007/annals.2021.194.1.2

M3 - Article

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SN - 0003-486X

VL - 194

SP - 97

EP - 161

JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 1