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Sharp estimates of the norms of embeddings between Besov spaces. (English) Zbl 1397.46026
Summary: Optimal estimates are obtained for the rates of blow up of the norm of the embedding $$B^s_{p,r}\hookrightarrow B^{s-n(\frac1p-\frac1q)}_{q,r}$$ with $$p<q$$ as $$s\rightarrow n\left(\frac1p-\frac1q\right)+$$. We also show optimal limiting embeddings between Besov spaces and Lipschitz spaces.
##### MSC:
 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 46B70 Interpolation between normed linear spaces
##### Keywords:
Besov spaces; embedding norms; interpolation; Lipschitz spaces
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