Optimality of Cwikel-Solomyak estimates in Orlicz spaces

Published 10 Aug 2022 in math.FA and math.OA | (2208.05084v1)

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.

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