A New Proof of the Jawerth-Franke Embedding

  • Jan Vybíral
DOI: https://doi.org/10.5209/rev_REMA.2008.v21.n1.16435
Keywords: Besov spaces, Triebel-Lizorkin spaces, Sobolev embedding, Jawerth-Franke embedding

Abstract

We present an alternative proof of the Jawerth embedding s0 (Rn ) - Bp1 p0 (Rn ), s1 F p0 q where - < s1 < s0 < , 0 < p0 < p1 , 0<q and n n = s1 - . s0 p0 p1 The original proof given in [3] uses interpolation theory. Our proof relies on wavelet decompositions and transfers the problem from function spaces to se quence spaces. Using similar techniques, we also recover the embedding of Franke [2].

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Published
2008-04-15
How to Cite
Vybíral J. . (2008). A New Proof of the Jawerth-Franke Embedding. Revista Matemática Complutense, 21(1), 75-82. https://doi.org/10.5209/rev_REMA.2008.v21.n1.16435
Issue
Vol. 21 No. 1 (2008)
Section
Articles

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