Dmitriy Mikhailovich Stolyarov
Abstract
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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 in the negative a question posed by O. V. Besov.
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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 in the negative a question posed by O. V. Besov.
Key concepts: Smoothness, Besov space, Lorentz space, Lorentz transformation, Zero (linguistics), Embedding, Space (punctuation), Mathematics