Year: 2021
Type: article
Abstract: We prove almost everywhere convergence of continuous-time quadratic averages with respect to two commuting $\mathbb {R}$ -actions, coming from a single jointly measurable measure-preserving $\mathbb {R}^2$ -action on a probability space. The key ingredient of the proof comes from recent work on multilinear singular integrals; more specifically, from the study of a curved model for the triangular Hilbert transform.
DOI: 10.1017/etds.2021.45
Authors: MICHAEL CHRIST, POLONA DURCIK, VJEKOSLAV KOVAČ, JORIS ROOS
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3101988537