Calder\'on's commutator on Stratified Lie groups
Functional Analysis
2024-10-04 v3
Abstract
Motivated by the recent work of Gimperlein and Goffeng on Calder\'on's commutator on compact Heisenberg type manifolds and the related weak Schatten class estimates, we establish the characterisation of boundedness for Calderon's commutator on stratified Lie groups. We further study related weak Schatten class estimates for second order commutators on two step stratified Lie groups, which include the Heisenberg groups. This latter result is obtained using double operator integral techniques which are novel in this area.
Cite
@article{arxiv.2308.06753,
title = {Calder\'on's commutator on Stratified Lie groups},
author = {Yanping Chen and Zhenbing Gong and Ji Li and Edward McDonald and Dmitriy Zanin},
journal= {arXiv preprint arXiv:2308.06753},
year = {2024}
}
Comments
simplified the proof