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Titlebook: Geometric Complex Analysis; In Honor of Kang-Tae Jisoo Byun,Hong Rae Cho,Jong-Do Park Conference proceedings 2018 Springer Nature Singapore

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Mario S. Staller,Swen Koerner,AutorIn XWe present some recent results and propose a list of questions on the weighted log canonical threshold and the weighted multiplier ideal sheaf. This survey is dedicated to Prof. Kang-Tae Kim on the Occasion of His 60th Birthday.
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Individuelle Reaktionen auf UnterschiedeWe give a survey on the current developments of the embeddability problem of a Levi non-degenerate hypersurface into its model, i.e., hyerquadrics. We also formulate and study a local sums-of-squares problem, and make connections with the embeddability problem.
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Empirischer Zugang II: Programmanalyse,We present a short survey on the so-called .-spaces in the ball. Basic properties as well as the structure of .-spaces are given. Weighted composition operators and composition operators on these spaces are also studied. Some open problems are provided.
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On a Hyperconvex Manifold Without Non-constant Bounded Holomorphic Functions,An example is given of a hyperconvex manifold without non-constant bounded holomorphic functions, which is realized as a domain with real-analytic Levi-flat boundary in a projective surface.
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,A Degenerate Donnelly–Fefferman Theorem and its Applications,We prove a degenerate Donnelly–Fefferman theorem. Applications to local non-integrability of plurisubharmonic functions and . boundary decay estimates of the Bergman kernel are given.
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,Variation of Kähler-Einstein Metrics on Pseudoconvex Domains,The variation of Kähler-Einstein metrics on a family of canonically polarized compact Kähler manfolds is shown to be positive by Schumacher. In this survey, we introduce the variation of the Kähler-Einstein metrics on a family of bounded pseudoconvex domains and discuss the idea how to prove the positivity of the variation.
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Group Actions in Several Complex Variables: A Survey,We give a survey on some recent developments about group actions in several complex variables, including rigidity of the automorphism groups of the invariant domains in Stein homogenous spaces under complex reductive groups, and extension and rigidity of the proper holomorphic mappings of the domains in . with symmetries.
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