Sharp estimates of the norms of embeddings between Besov spaces. (English) Zbl 1397.46026

Domínguez, Oscar

Z. Anal. Anwend. 37, No. 2, 127-149 (2018).

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