Results 1 to 10 of about 283 (43)
Remarks on the canonical metrics on the Cartan-Hartogs domains [PDF]
, 2017 The Cartan-Hartogs domains are defined as a class of Hartogs type domains over irreducible bounded symmetric domains. For a Cartan-Hartogs domain $\Omega^{B}(\mu)$ endowed with the natural K\"{a}hler metric $g(\mu),$ Zedda conjectured that the ...
Bi, Enchao, Tu, Zhenhan
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A note on the coefficients of Rawnsley's epsilon function of Cartan-Hartogs domains [PDF]
, 2014 We extend a result of Z. Feng and Z. Tu by showing that if one of the coefficients $a_j$, $2\leq j\leq n$, of Rawnlsey's epsilon function associated to a $n$-dimensional Cartan-Hartogs domain is constant, then the domain is biholomorphically equivalent ...
Zedda, Michela
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The Bergman kernel of the symmetrized polydisc in higher dimensions has zeros
, 2005 We prove that the Bergman kernel of the symmetrized polydisc in dimension greater than two has zeros.Comment: ESI preprint ...
Nikolov, Nikolai, Zwonek, Włodzimierz
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Lu Qi-Keng's problem for intersection of two complex ellipsoids
, 2015 In this paper We investigate the Lu Qi-Keng problem for intersection of two complex ellipsoids $\{z \in \mathbb{C}^3 \colon |z_1|^2 + |z_2|^q < 1, \quad |z_1|^2 + |z_3|^r < 1\}$.Comment: 9 ...
Beberok, Tomasz
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Two remarks on the Suita conjecture
, 2014 It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with $C^{1+\varepsilon_-}$-smooth boundary. On the other hand, it is proved that the weak converse to the Suita conjecture holds for any finitely ...
Nikolov, Nikolai
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Estimates of the Bergman distance on Dini-smooth bounded planar domains
, 2015 Precise estimates for the Bergman distances of Dini-smooth bounded planar domains are given. These estimates imply that on such domains the Bergman distance almost coincides with the Carath\'eodory and Kobayashi distances.Comment: Collect. Math.
Nikolov, Nikolai, Trybuła, Maria
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, 2016 We prove a general version of \cite[Theorem 4.1]{Boas84} to obtain Sobolev estimates for weighted Bergman projections on convex Reinhardt domains by using the Pr\'ekopa-Leindler inequality.Comment: To appear in Acta Sci.
Zeytuncu, Yunus E.
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On the growth of the Bergman kernel near an infinite-type point
, 2009 We study diagonal estimates for the Bergman kernels of certain model domains in $\mathbb{C}^2$ near boundary points that are of infinite type. To do so, we need a mild structural condition on the defining functions of interest that facilitates optimal ...
A. Nagel +10 more
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The third Cauchy-Fantappie formula of Leray
, 2002 We study the third Cauchy-Fantappie formula, an integral representation formula for holomorphic functions on a domain in affine space, presented by Jean Leray in the third paper of his famous series "Probleme de Cauchy", published in 1959.
Joita, Cezar, Larusson, Finnur
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Irregularity of the Bergman projection on worm domains in C^n
, 2011 We construct higher-dimensional versions of the Diederich-Fornaess worm domains and show that the Bergman projection operators for these domains are not bounded on high-order $L^p$-Sobolev spaces for $1\leq ...
Barrett, David, Sahutoglu, Sonmez
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