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arXiv:2208.05084 [math.FA]AbstractReferencesReviewsResources

Optimality of Cwikel-Solomyak estimates in Orlicz spaces

Fedor Sukochev, Dmitriy Zanin

Published 2022-08-10Version 1

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.

Categories: math.FA, math.OA
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