English

The Helicoidal Method

Classical Analysis and ODEs 2018-05-18 v2

Abstract

This is an expository paper on the helicoidal method, a tool designed for proving multiple vector-valued inequalities for operators in harmonic analysis, which is based on stopping times and localizations. As it turns out, the local estimate can be used for proving sparse domination for the scalar operator and its multiple vector-valued extensions, and hence also weighted estimates.

Keywords

Cite

@article{arxiv.1801.10071,
  title  = {The Helicoidal Method},
  author = {Cristina Benea and Camil Muscalu},
  journal= {arXiv preprint arXiv:1801.10071},
  year   = {2018}
}

Comments

expository paper, 47 pages

R2 v1 2026-06-23T00:03:59.796Z