Integral kernels and Hölder estimates of ... on pseudoconvex domains of finite type in C2.
R. Michael Range (1990)
Mathematische Annalen
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R. Michael Range (1990)
Mathematische Annalen
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Heungju Ahn, Hong Rae Cho, Jong-Do Park (2008)
Rendiconti del Seminario Matematico della Università di Padova
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Ewa Ligocka (1984)
Studia Mathematica
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R. Range (1995)
Banach Center Publications
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In this survey we shall tour the area of multidimensional complex analysis which centers around ∂̅-problems (i.e., the Cauchy-Riemann equations) on pseudoconvex domains. Along the way we shall highlight some of the classical milestones as well as more recent landmarks, and we shall discuss some of the major open problems and conjectures. For the sake of simplicity we will only consider domains in ; intriguing phenomena occur already in the simple setting of (Euclidean) convex domains....
Joachim Michel (1993)
Mathematische Zeitschrift
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Joachim Michel, Alessandro Perotti (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Gregor Herbort (2013)
Annales Polonici Mathematici
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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...
Joachim Michel (1995)
Banach Center Publications
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Michael Range, Yum-Tong Siu (1973)
Mathematische Annalen
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David W. Catlin (1988/89)
Mathematische Zeitschrift
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Włodzimierz Zwonek
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Our work is divided into five chapters. In Chapter I we introduce necessary notions and we present the most important facts that we shall use. We also present our main results. Chapter I covers the following topics: • holomorphically contractible families of functions and pseudometrics, their basic properties, product property, Lempert Theorem, notion of geodesic, problem of finding effective formulas for invariant functions and pseudometrics and geodesics, completeness...
Sanghyun Cho (1996)
Mathematische Zeitschrift
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