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arXiv:2301.06370 [math.CA]AbstractReferencesReviewsResources

On embedding of Besov spaces of zero smoothness into Lorentz spaces

Dmitriy Stolyarov

Published 2023-01-16Version 1

We show that the zero smoothness Besov space $B_{p,q}^{0,1}$ does not embed into the Lorentz space $L_{p,q}$ unless $p=q$; here $p,q\in (1,\infty)$. This answers negatively a question proposed by O. V. Besov.

Comments: 8 pages
Categories: math.CA, math.FA
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