Changes of variable in Besov spaces

by    G. Bourdaud, W. Sickel

Preprint series: 99-03, Analysis

The paper is published: Math. Nachr., 198, 19-39, 1999

MSC:
46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

Abstract: We characterize the set of all homeomorphisms $\varphi$ such that the mapping $f\mapsto f\circ\varphi$ is bounded on a homogeneous or inhomogeneous Besov space ($0<s<1$).

Keywords: homeomorphism, quasi-conformal mapping, Besov spaces

Upload: 1999-02-08

Update: 1999-02-08


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