Full paper in PDF format:
$%J. Vybíral, A new proof of the Jawerth-Franke embedding, Rev. Mat. Complut. 21 (2008), no. 1, 75–82.%$

We present an alternative proof of the Jawerth embedding

where

and

The original proof given in "Some observations on Besov and Triebel-Lizorkin spaces" (Jawerth, 1977) uses interpolation theory. Our proof relies on wavelet decompositions and transfers the problem from function spaces to sequence spaces. Using similar techniques, we also recover the embedding of "On the spaces F^s_pq of Triebel-Lizorkin type: pointwise multipliers and spaces on domains" (Franke, 1986).

Key words: Besov spaces, Triebel-Lizorkin spaces, Sobolev embedding, Jawerth-Franke embedding.
2000 Mathematics Subject Classification: 46E35.