Möbius invariance of analytic Besov spaces in tube domains over symmetric cones
Volume 118 / 2010
Colloquium Mathematicum 118 (2010), 559-568 MSC: 32M15, 32A37, 42B35. DOI: 10.4064/cm118-2-11
Besov spaces of holomorphic functions in tubes over cones have been recently defined by Békollé et al. In this paper we show that Besov $p$-seminorms are invariant under conformal transformations of the domain when $n/r$ is an integer, at least in the range $2-r/n< p\leq \infty $.