Bounded harmonic maps
Résumé
The classical Fatou theorem identifies bounded harmonic functions on the unit disk with bounded measurable functions on the boundary circle. We extend this theorem to bounded harmonic maps.
Mots clés
Harmonic map
fine limit
Fatou theorem
subharmonic function
potential theory
spectral gap
non-positive curvature
2020 Math. subject class. Primary 58E20
Secondary 53C43 31C12 Harmonic map fine limit Fatou theorem subharmonic function potential theory spectral gap non-positive curvature Contents
Secondary 53C43
31C12 Harmonic map
non-positive curvature Contents
Domaines
Géométrie différentielle [math.DG]
Origine : Fichiers produits par l'(les) auteur(s)