Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains.
P. Bonneau, Diedrich (1990)
Mathematische Annalen
Similarity:
P. Bonneau, Diedrich (1990)
Mathematische Annalen
Similarity:
Klas Diederich, John Erik Fornaess (1982)
Manuscripta mathematica
Similarity:
Gregor Herbort (2013)
Annales Polonici Mathematici
Similarity:
We study the class of smooth bounded weakly pseudoconvex domains D ⊂ ℂⁿ whose boundary points are of finite type (in the sense of J. Kohn) and whose Levi form has at most one degenerate eigenvalue at each boundary point, and prove effective estimates on the invariant distance of Carathéodory. This completes the author's investigations on invariant differential metrics of Carathéodory, Bergman, and Kobayashi in the corank one situation and on invariant distances on pseudoconvex finite...
David W. Catlin (1988/89)
Mathematische Zeitschrift
Similarity:
John Erik Fornaess, Eric Bedford (1978)
Inventiones mathematicae
Similarity:
D., Jr. Burns, S. Shnider (1978)
Inventiones mathematicae
Similarity:
Vo Van Tan (1990)
Manuscripta mathematica
Similarity:
Masahide Kato (1976)
Mathematische Annalen
Similarity:
Vo Van Tan (1987)
Mathematische Zeitschrift
Similarity:
Liu, Lixin (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
Prachi Mahajan (2012)
Annales Polonici Mathematici
Similarity:
This article considers C¹-smooth isometries of the Kobayashi and Carathéodory metrics on domains in ℂⁿ and the extent to which they behave like holomorphic mappings. First we provide an example which suggests that 𝔹ⁿ cannot be mapped isometrically onto a product domain. In addition, we prove several results on continuous extension of C⁰-isometries f : D₁ → D₂ to the closures under purely local assumptions on the boundaries. As an application, we show that there is no C⁰-isometry between...
Franc Forstneric (1993)
Mathematische Zeitschrift
Similarity:
Joachim Michel (1993)
Mathematische Zeitschrift
Similarity:
Ivanov, Vsevolod (2001)
Serdica Mathematical Journal
Similarity:
First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed. Well-known first order characterizations of the solution sets of pseudolinear programs are generalized to the case of pseudoconvex programs. The concepts of pseudoconvexity and invexity do not depend on a single definition of the generalized directional derivative.