Complex structure that admits complete Nevanlinna-Pick spaces of Hardy type
日 時
2024/4/24
13:30〜14:30
会 場
多元数理科学棟 309講義室
要 旨
In this talk, we will characterize those sets, over which every irreducible complete Nevanlinna-Pick space enjoys that its multiplier and supremum norms coincide. Moreover, we will prove that, if there exists an irreducible complete Nevanlinna-Pick space of holomorphic functions on a reduced complex space X whose multiplier algebra is isometrically equal to the algebra of bounded holomorphic functions (we will say that such a space is of Hardy type in this paper), then X must be a Riemann surface.
