hermitian symmetric space
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2021 ◽  
Vol 106 (1) ◽  
pp. 907-918
Author(s):  
Jia Wang ◽  
Xianguo Geng ◽  
Bo Xue


Author(s):  
Laura Geatti ◽  
Andrea Iannuzzi

AbstractLet $$\,G/K\,$$ G / K be an irreducible non-compact Hermitian symmetric space and let $$\,D\,$$ D be a $$\,K$$ K -invariant domain in $$\,G/K$$ G / K . In this paper we characterize several classes of $$\,K$$ K -invariant plurisubharmonic functions on $$\,D\,$$ D in terms of their restrictions to a slice intersecting all $$\,K$$ K -orbits. As applications we show that $$\,K$$ K -invariant plurisubharmonic functions on $$\,D\,$$ D are necessarily continuous and we reproduce the classification of Stein $$\,K$$ K -invariant domains in $$\,G/K\,$$ G / K obtained by Bedford and Dadok. (J Geom Anal 1:1–17, 1991).



2019 ◽  
Vol 383 (25) ◽  
pp. 3047-3055 ◽  
Author(s):  
Xianguo Geng ◽  
Jing Shen ◽  
Bo Xue


2019 ◽  
Vol 404 ◽  
pp. 115-131 ◽  
Author(s):  
Xianguo Geng ◽  
Jing Shen ◽  
Bo Xue


2019 ◽  
Vol 90 ◽  
pp. 8-14 ◽  
Author(s):  
Jing Shen ◽  
Xianguo Geng ◽  
Bo Xue


2018 ◽  
Vol 12 (2) ◽  
pp. 174-195
Author(s):  
Mads Aunskjær Bech ◽  
Jean-Louis Clerc ◽  
Bent Ørsted


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