Möbius invariance of analytic Besov spaces
in tube domains over symmetric cones
Colloquium Mathematicum, Tome 118 (2010) no. 2, pp. 559-568
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 $.
Mots-clés :
besov spaces holomorphic functions tubes cones have recently defined koll paper besov p seminorms invariant under conformal transformations domain integer least range r leq infty
Affiliations des auteurs :
G. Garrigós  1
@article{10_4064_cm118_2_11,
author = {G. Garrig\'os},
title = {M\"obius invariance of analytic {Besov} spaces
in tube domains over symmetric cones},
journal = {Colloquium Mathematicum},
pages = {559--568},
year = {2010},
volume = {118},
number = {2},
doi = {10.4064/cm118-2-11},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm118-2-11/}
}
TY - JOUR AU - G. Garrigós TI - Möbius invariance of analytic Besov spaces in tube domains over symmetric cones JO - Colloquium Mathematicum PY - 2010 SP - 559 EP - 568 VL - 118 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/cm118-2-11/ DO - 10.4064/cm118-2-11 LA - fr ID - 10_4064_cm118_2_11 ER -
G. Garrigós. Möbius invariance of analytic Besov spaces in tube domains over symmetric cones. Colloquium Mathematicum, Tome 118 (2010) no. 2, pp. 559-568. doi: 10.4064/cm118-2-11
Cité par Sources :