Holomorphic and Meromorphic Mappings and Curvature.
Bernard Shiffman (1976)
Mathematische Annalen
Bernhard Shiffman (1977)
Mathematische Annalen
David E. Barrett (1984)
Commentarii mathematici Helvetici
J. A. Cima, J. A. Pfaltzgraff (1983)
Annales Polonici Mathematici
Alan Huckleberry (1977)
Mathematische Annalen
Eric Bedford, Dan Burns (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
H. Alexander (1974)
Mathematische Annalen
Yoichi Imayoshi (1985)
Mathematische Annalen
Marco Abate (1988)
Mathematische Zeitschrift
Ewa Ligocka (1981)
Annales Polonici Mathematici
Shanyu Ji (1993)
Mathematische Annalen
I. Graham (1986)
Matematički Vesnik
Thomas Dedieu (2010)
Bulletin de la Société Mathématique de France
We study an adaptation to the logarithmic case of the Kobayashi-Eisenman pseudo-volume form, or rather an adaptation of its variant defined by Claire Voisin, for which she replaces holomorphic maps by holomorphic -correspondences. We define an intrinsic logarithmic pseudo-volume form for every pair consisting of a complex manifold and a normal crossing Weil divisor on , the positive part of which is reduced. We then prove that is generically non-degenerate when is projective and ...
Hidetaka Hamada, Gabriela Kohr (2002)
Annales Polonici Mathematici
We define and investigate the notion of k-convexity in the sense of Mejia-Minda for domains in ℂⁿ and also that of k-convex mappings on the Euclidean unit ball.
Marcos Sebastiani (1981)
Annales de l'institut Fourier
Soit une application analytique propre entre des ouverts de , soit un sous-ensemble analytique de et soit . On donne des conditions pour que soit de codimension 1 dans .
David Bekolle (1984)
Annales de l'institut Fourier
Nous répondons à une conjecture de R. Coifman et R. Rochberg : dans le complexifié du cône sphérique de , le dual de la classe de Bergman s’obtient comme projection de Bergman de et coïncide avec la classe de Bloch des fonctions holomorphes. Nous examinons également le cas d’un produit de domaines.
M. Derridj (1985)
Inventiones mathematicae
James J. Faran (1982)
Inventiones mathematicae
Patrick Ahern, Joaquim Bruna (1988)
Revista Matemática Iberoamericana
In this paper we deal with several characterizations of the Hardy-Sobolev spaces in the unit ball of Cn, that is, spaces of holomorphic functions in the ball whose derivatives up to a certain order belong to the classical Hardy spaces. Some of our characterizations are in terms of maximal functions, area functions or Littlewood-Paley functions involving only complex-tangential derivatives. A special case of our results is a characterization of Hp itself involving only complex-tangential derivatives....
Takushiro Ochiai, Shoshichi Kobayashi (1976)
Inventiones mathematicae