Geodesic
On Embedding of Besov Spaces of Zero Smoothness into Lorentz Spaces
Informatics and Automation, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 204-212

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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 in the negative a question posed by O. V. Besov.
Mots-clés : Besov space
Keywords: embedding theorem. 
@article{TRSPY_2023_323_a11,
     author = {D. M. Stolyarov},
     title = {On {Embedding} of {Besov} {Spaces} of {Zero} {Smoothness} into {Lorentz} {Spaces}},
     journal = {Informatics and Automation},
     pages = {204--212},
     publisher = {mathdoc},
     volume = {323},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2023_323_a11/}
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D. M. Stolyarov. On Embedding of Besov Spaces of Zero Smoothness into Lorentz Spaces. Informatics and Automation, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 204-212. http://geodesic.mathdoc.fr/item/TRSPY_2023_323_a11/