Displaying similar documents to “An optimal symbolic calculus on Besov algebras”

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].