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arXiv · 2301.06370

On embedding of Besov spaces of zero smoothness into Lorentz spaces

Dmitriy Stolyarov
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Abstract

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.

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Dmitriy Stolyarov. 2023-01-16. On embedding of Besov spaces of zero smoothness into Lorentz spaces. https://arxiv.org/abs/2301.06370

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