Regularity properties are established for geodesics between continuous plurisubharmonic functions and for the associated rooftop envelopes on bounded domains in ℂ^n.
Berndtsson,A Brunn–Minkowski type inequality for Fano manifolds and some uniqueness theorems in K¨ ahler geometry, Inv
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Regularity of rooftop envelopes
Regularity properties are established for geodesics between continuous plurisubharmonic functions and for the associated rooftop envelopes on bounded domains in ℂ^n.