Discrete bilinear operators and commutators
Classical Analysis and ODEs
2022-11-18 v2 Analysis of PDEs
Abstract
We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear pseudodifferential operators with symbols in the H\"ormander classes . In particular, we investigate their relation to discrete analogues of the bilinear Calder\'on-Zygmund singular integral operators and show compactness of their commutators.
Cite
@article{arxiv.2206.00824,
title = {Discrete bilinear operators and commutators},
author = {Árpád Bényi and Tadahiro Oh},
journal= {arXiv preprint arXiv:2206.00824},
year = {2022}
}
Comments
14 pages. Minor revision. To appear in J. Geom. Anal