A decoupling for Cantor-like sets
Author:
Ciprian Demeter
Journal:
Proc. Amer. Math. Soc. 147 (2019), 1037-1050
MSC (2010):
Primary 42A16; Secondary 52C99
DOI:
https://doi.org/10.1090/proc/14325
Published electronically:
December 6, 2018
MathSciNet review:
3896054
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Abstract | References | Similar Articles | Additional Information
Abstract: We consider partitions of the parabola determined by Cantor-like sets and prove decouplings in the range 
that are independent of the parameters defining these sets.
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decoupling conjecture, Ann. of Math. (2) 182 (2015), no. 1, 351-389. 
decoupling theorem, Chin. Ann. Math. Ser. B 38 (2017), no. 1, 173-200. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 42A16, 52C99
Retrieve articles in all journals with MSC (2010): 42A16, 52C99
Additional Information
Ciprian Demeter
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email:
demeterc@@indiana.edu
DOI:
https://doi.org/10.1090/proc/14325
Keywords:
Discrete restriction estimates,
Cantor sets,
additive energy
Received by editor(s):
June 25, 2017
Published electronically:
December 6, 2018
Additional Notes:
The author was partially supported by the NSF Grant DMS-1161752.
Communicated by:
Alexander Iosevich
Article copyright:
© Copyright 2018
American Mathematical Society
