Superposition of functions in Sobolev spaces of fractional order. A survey
Winfried Sickel (1992)
Banach Center Publications
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Displaying similar documents to “An optimal symbolic calculus on Besov algebras”
Superposition of functions in Sobolev spaces of fractional order. A survey
Recent developments in the theory of function spaces
Triebel, Hans
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Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type
Bernd Stöckert (1982)
Czechoslovak Mathematical Journal
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Nonlinear Maps between Besov and Sobolev spaces
Philip Brenner, Peter Kumlin (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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Our main result shows that for a large class of nonlinear local mappings between Besov and Sobolev space, interpolation is an exceptional low dimensional phenomenon. This extends previous results by Kumlin [13] from the case of analytic mappings to Lipschitz and Hölder continuous maps (Corollaries 1 and 2), and which go back to ideas of the late B.E.J. Dahlberg [8].