Some Characterizations of Bloch Functions on Strongly Pseudoconvex Domains [PDF]
Tokyo Journal of Mathematics, 1994 This paper contains 3 characterisations of Bloch functions on smoothly bounded, strongly pseudoconvex domains in terms of invariant geometry, Bergman-Carleson measures and certain invariant random processes, respectively. This involves extending and modifying earlier work by \textit{J. Choa}, \textit{H. Kim} and \textit{Y. Park} [Bull. Korean Math. Soc.
Hitoshi Arai
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Comparison of invariant functions on strongly pseudoconvex domains
Journal of Mathematical Analysis and Applications, 2012 It is shown that the Carath odory distance and the Lempert function are almost the same on any strongly pseudoconvex domain in $\C^n;$ in addition, if the boundary is $C^{2+\eps}$-smooth, then $\sqrt{n+1}$ times one of them almost coincides with the Bergman distance.
Николай Николов
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On the functions with pseudoconvex sublevel sets and optimality conditions
Journal of Mathematical Analysis and Applications, 2008 A new class of generalized convex functions, called the functions with pseudoconvex sublevel sets, is defined. They include quasiconvex ones. A complete characterization of these functions is derived. Further, it is shown that a continuous function admits pseudoconvex sublevel sets if and only if it is quasiconvex.
Vsevolod I. Ivanov
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Characterization of nonsmooth quasiconvex and pseudoconvex functions
Journal of Mathematical Analysis and Applications, 2006 AbstractThis paper characterizes the nonsmooth quasiconvex and pseudoconvex functions using the properties of limiting subdifferentials.
Majid Soleimani-damaneh
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Bounded p.s.h. functions and pseudoconvexity in Kähler manifold [PDF]
Nagoya Mathematical Journal, 1998 Abstract.It is proved that the C2-smoothly bounded pseudoconvex domains in Pn admit bounded plurisubharmonic exhaustion functions. Further arguments are given concerning the question of existence of strictly plurisubharmonic functions on neighbourhoods of real hypersurfaces in Pn.
Takeo Ohsawa, Nessim Sibony
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On defining functions for unbounded pseudoconvex domains
, 2014 86 pages, Comments are ...
Tobias Harz +2 more
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On algebras of holomorphic functions on finite pseudoconvex manifolds
Journal of Functional Analysis, 1977 Hugo Rossi, Joseph L. Taylor
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ESTIMATES OF THE BERGMAN KERNEL FUNCTION ON PSEUDOCONVEX DOMAINS WITH COMPARABLE LEVI FORM [PDF]
, 2002 Sanghyun Cho
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A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary [PDF]
Pacific Journal of Mathematics, 2016 In recent work by Zimmer it was proved that if $\Omega\subset\mathbb C^n$ is a bounded convex domain with $C^\infty$-smooth boundary, then $\Omega$ is strictly pseudoconvex provided that the squeezing function approaches one as one approaches the ...
J. Fornaess, E. F. Wold
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Approximation to bounded holomorphic functions on strictly pseudoconvex domains [PDF]
Pacific Journal of Mathematics, 1972 R. Michael Range
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