Changes of variable in Besov spaces

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