Optimality of Cwikel-Solomyak estimates in Orlicz spaces
Functional Analysis
2022-08-11 v1 Operator Algebras
Abstract
We discuss the optimality of Cwikel-Solomyak estimates for the uniform operator norm and establish optimality of M.Z Solomyak's results \cite{Solomyak1995} within the class of Orlicz spaces. Our methods are based on finding the optimal version of the Sobolev embedding theorem.
Keywords
Cite
@article{arxiv.2208.05084,
title = {Optimality of Cwikel-Solomyak estimates in Orlicz spaces},
author = {Fedor Sukochev and Dmitriy Zanin},
journal= {arXiv preprint arXiv:2208.05084},
year = {2022}
}