A Duality Theorem for Complex Manifolds.
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Daniele Struppa, Cristina Turrini (1984/1985)
Mathematische Zeitschrift
Jürgen Leiterer (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Let be a holomorphic Banach bundle over a compact complex manifold, which can be defined by a cocycle of holomorphic transition functions with values of the form where is compact. Assume that the characteristic fiber of has the compact approximation property. Let be the complex dimension of and . Then: If is a holomorphic vector bundle (of finite rank) with , then . In particular, if , then .
A. Dickenstein, C. sessa (1985)
Inventiones mathematicae
J. L. Ermine (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Jean-Pierre Ramis, Gabriel Ruget (1970)
Publications Mathématiques de l'IHÉS
J. L. Ermine (1981/1982)
Séminaire Équations aux dérivées partielles (Polytechnique)
Tosiaki Kori (1989)
Mathematische Annalen
Gert-Martin Greuel (1980)
Mathematische Annalen
Aziz El Kacimi Alaoui (1987)
Manuscripta mathematica
Domingo Toledo, Yue Lin L. Tong (1978)
Mathematische Annalen
Steven G. Krantz, Song-Ying Li (1995)
Annales de l'institut Fourier
We study Hardy, Bergman, Bloch, and BMO spaces on convex domains of finite type in -dimensional complex space. Duals of these spaces are computed. The essential features of complex domains of finite type, that make these theorems possible, are isolated.
Christine Laurent-Thiébaut, Jürgen Leiterer (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Siegmund Kosarew (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
The Leitmotiv of this work is to find suitable notions of dual varieties in a general sense. We develop the basic elements of a duality theory for varieties and complex spaces, by adopting a geometric and a categorical point of view. One main feature is to prove a biduality property for each notion which is achieved in most cases.
Corrado Marastoni (1998)
Annales scientifiques de l'École Normale Supérieure
Y.L. Tong, S.P. Wang (1981)
Mathematische Annalen
Morihiko Saito (1989)
Bulletin de la Société Mathématique de France
Iku Nakamura (1980)
Mathematische Annalen
Ulrich Karras (1986)
Mathematische Annalen
Leovigildo Alonso Tarrío, Ana Jeremías López, Joseph Lipman (1997)
Annales scientifiques de l'École Normale Supérieure
I.B. Penkov (1983)
Inventiones mathematicae
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