A decoupling for Cantor-like sets

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Abstract

We consider partitions of the parabola determined by Cantor-like sets and prove decouplings in the range 2 ≤ p ≤ 6 that are independent of the parameters defining these sets. In the process, we further clarify and simplify the argument from [2].

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Demeter, Ciprian. "A decoupling for Cantor-like sets." Proceedings of the American Mathematical Society, vol. 147, no. 3, 2018-12-06, https://doi.org/10.1090/proc/14325.

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Proceedings of the American Mathematical Society

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