Let G/K be an irreducible non-compact Hermitian symmetric space and let D be a K- invariant domain in G / K . In this paper we characterize several classes of K -invariant plurisubharmonic functions on D in terms of their restrictions to a slice intersecting all K -orbits. As applications we show that K -invariant plurisubharmonic functions on D are necessarily continuous and we reproduce the classification of Stein K -invariant domains in G/K obtained by Bedford and Dadok. (J Geom Anal 1:1–17, 1991).
Geatti, L., Iannuzzi, A. (2021). Invariant plurisubharmonic functions on non-compact Hermitian symmetric spaces. MATHEMATISCHE ZEITSCHRIFT [10.1007/s00209-021-02739-1].
Invariant plurisubharmonic functions on non-compact Hermitian symmetric spaces
Geatti L.
Membro del Collaboration Group
;Iannuzzi A.
Membro del Collaboration Group
2021-01-01
Abstract
Let G/K be an irreducible non-compact Hermitian symmetric space and let D be a K- invariant domain in G / K . In this paper we characterize several classes of K -invariant plurisubharmonic functions on D in terms of their restrictions to a slice intersecting all K -orbits. As applications we show that K -invariant plurisubharmonic functions on D are necessarily continuous and we reproduce the classification of Stein K -invariant domains in G/K obtained by Bedford and Dadok. (J Geom Anal 1:1–17, 1991).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
