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Displaying similar documents to “Multipliers in Sobolev spaces and exact convergence rate estimates for the finite-difference schemes”

Sharp embeddings of Besov spaces with logarithmic smoothness.

Petr Gurka, Bohumir Opic (2005)

Revista Matemática Complutense

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We prove sharp embeddings of Besov spaces B with the classical smoothness σ and a logarithmic smoothness α into Lorentz-Zygmund spaces. Our results extend those with α = 0, which have been proved by D. E. Edmunds and H. Triebel. On page 88 of their paper (Math. Nachr. 207 (1999), 79-92) they have written: ?Nevertheless a direct proof, avoiding the machinery of function spaces, would be desirable.? In our paper we give such a proof even in a more general context. We cover...