A proof of Carleson's 𝜀2-conjecture
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.
Main Authors
Format
Articles
Research article
Published
2021
Series
Subjects
Publication in research information system
Publisher
Mathematics Department, Princeton University
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202109295027Use this for linking
Review status
Peer reviewed
ISSN
0003-486X
DOI
https://doi.org/10.4007/annals.2021.194.1.2
Language
English
Published in
Annals of Mathematics
Citation
- Jaye, B., Tolsa, X., & Villa, M. (2021). A proof of Carleson's 𝜀2-conjecture. Annals of Mathematics, 194(1), 97-161. https://doi.org/10.4007/annals.2021.194.1.2
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Additional information about funding
B. J. was partially supported by NSF through DMS-1800015 (now DMS-2103534) and the CAREER Award DMS-1847301 (now DMS-2049477). X.T. was partially supported by MTM-2016-77635-P (MICINN, Spain) and 2017-SGR-395 (AGAUR, Catalonia). M.V. was supported by The Maxwell Institute Graduate School in Analysis and its Applications, a Centre for Doctoral Training funded by the UK Engineering and Physical Sciences Research Council (grant EP/L016508/01), the Scottish Funding Council, Heriot-Watt University and the University of Edinburgh.
Copyright© 2021 Department of Mathematics, Princeton University.