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Two quantitative versions of the Nonlinear Carleson Conjecture

Analysis of PDEs 2025-11-11 v2 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.

Keywords

Cite

@article{arxiv.2505.06788,
  title  = {Two quantitative versions of the Nonlinear Carleson Conjecture},
  author = {Sergey A. Denisov},
  journal= {arXiv preprint arXiv:2505.06788},
  year   = {2025}
}

Comments

A few typos were fixed in this version