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Two quantitative versions of the Nonlinear Carleson Conjecture · arXivDesk

2505.06788May 11, 2025A few typos were fixed in this version

Two quantitative versions of the Nonlinear Carleson Conjecture

Sergey A. Denisov

Analysis of PDEs Classical Analysis and ODEs

Abstract

This note compares two quantitative versions of the Nonlinear Carleson Conjecture (NCC). We provide motivations for our conjectures and show that they both imply the NCC. We discuss the connection to Carleson-Hunt maximal functions and give an SU(1,1) version of Calderon's theorem.

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