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pro vyhledávání: '"Gregor Herbort"'
Autor:
Gregor Herbort
Publikováno v:
Annales Polonici Mathematici. 109:209-260
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b0a21c08bd8b2aaf144a8bd9d01f4ca
https://doi.org/10.4064/ap109-3-1
https://doi.org/10.4064/ap109-3-1
A sufficient condition for the infinite dimensionality of the Bergman space of a pseudoconvex domain is given. This condition holds on any pseudoconvex domain that has at least one smooth boundary point of finite type in the sense of D'Angelo.
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38179d024bb28a83dd951623ce9540d4
Autor:
Gregor Herbort
Publikováno v:
Annales Polonici Mathematici. 94:149-185
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19247e250c19ba32945ccf6dfd52123a
https://doi.org/10.4064/ap94-2-4
https://doi.org/10.4064/ap94-2-4
Autor:
Gregor Herbort
Publikováno v:
Annales Polonici Mathematici. 92:29-39
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b0fe8b299bbcac2b2fc49b16d940539
https://doi.org/10.4064/ap92-1-3
https://doi.org/10.4064/ap92-1-3
Autor:
Gregor Herbort
Publikováno v:
Mathematische Zeitschrift. 251:673-703
We study the class of smooth bounded weakly pseudoconvex domains Open image in new window that are of finite type (in the sense of J. Kohn) and prove effective estimates on the invariant distances of Bergman and Kobayashi and also for the inner dista
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e82d5c20cd352fa224e745e510dd4c8f
https://doi.org/10.1007/s00209-005-0829-2
https://doi.org/10.1007/s00209-005-0829-2
Autor:
Gregor Herbort
Publikováno v:
International Journal of Mathematics. 11:509-522
In this article we deal with the behavior of the pluricomplex Green function GD(·;w), of a pseudoconvex domain D in [Formula: see text], when the pole tends to a boundary point. In [7], it was shown that, given a boundary point w0 of a hyperconvex d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d97d3238ee8370739f15f15f465bb3e
https://doi.org/10.1142/s0129167x00000258
https://doi.org/10.1142/s0129167x00000258
Autor:
Klas Diederich, Gregor Herbort
Publikováno v:
Annales de l’institut Fourier. 50:1205-1228
Soit D ⊂ C un domaine pseudoconvexe qui admet une fonction plurisousharmonique d'exhaustion et Holder continue. On note G D (.,.) la fonction pluricomplexe de Green, pour D. Dans cet article nous allons donner pour un ensemble compact K ⊂ D une b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ed04945e9a8b8ce6ca3e2a7f0bd50b1
https://doi.org/10.5802/aif.1790
https://doi.org/10.5802/aif.1790
Autor:
Klas Diederich, Gregor Herbort
Publikováno v:
International Journal of Mathematics. 10:825-832
Let $\Omega\subset {\mathbb C}^n$ be a Ck-smoothly (with k≥1) bounded pseudoconvex domain and $K_\Omega: \Omega\times \Omega\to {\mathbb C}$ denote its Bergman kernel function. In this article the question is investigated, whether the function $|K_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a072a49d8253a76df6f9d80dfc9d7cbe
https://doi.org/10.1142/s0129167x99000355
https://doi.org/10.1142/s0129167x99000355
Autor:
Gregor Herbort
Publikováno v:
Mathematische Zeitschrift. 232:183-196
In this article it is shown that the Bergman metric on a bounded hyperconvex domain in $\mathbb{C}^n$ is always complete. A counterexample demonstrates, that the converse conclusion fails in general.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bb885eef0d571f056d1d2e2a4fa6615
https://doi.org/10.1007/pl00004754
https://doi.org/10.1007/pl00004754
Autor:
Gregor Herbort, Klas Diederich
Publikováno v:
Journal of Geometric Analysis. 3:237-267
We consider for smooth pseudoconvex bounded domains Ω ⊂ ℂn of finite type as local analytic invariants on the boundary the growth orders of the Bergman kernel and the Bergman metric and the best possible order of subellipticity e1 > 0 for the\(\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88add866b77fca19a11ec07e7c79c673
https://doi.org/10.1007/bf02921392
https://doi.org/10.1007/bf02921392