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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
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