Besov Spaces, Schatten Classes and Weighted Versions of the Quantised Derivative
Functional Analysis
2022-11-29 v1
Abstract
In this paper, we establish the Schatten class and endpoint weak Schatten class estimates for the commutator of Riesz transforms on weighted spaces. It provides a weighted version for the estimate of the quantised derivative introduced by Alain Connes and studied recently by Lord--McDonald--Sukochev--Zanin.
Keywords
Cite
@article{arxiv.2211.15085,
title = {Besov Spaces, Schatten Classes and Weighted Versions of the Quantised Derivative},
author = {Zhenbing Gong and Ji Li and Brett D. Wick},
journal= {arXiv preprint arXiv:2211.15085},
year = {2022}
}
Comments
Dedicated to Professor Besov on the occasion of his 90th birthday, for special issue in Analysis Mathematica