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math.FA2021★ 12 cited
Spaces of Besov-Sobolev type and a problem on nonlinear approximation
Óscar Domínguez, Andreas Seeger, Brian Street +2
We study fractional variants of the quasi-norms introduced by Brezis, Van Schaftingen, and Yung in the study of the Sobolev space . The resulting spaces are identifie…
math.FA2021
Sparse Brudnyi and John-Nirenberg Spaces
Óscar Domínguez, Mario Milman
A generalization of the theory of Y. Brudnyi \cite{yuri}, and A. and Y. Brudnyi \cite{BB20a}, \cite{BB20b}, is presented. Our construction connects Brudnyi's theory, which relies o…