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Continuity and boundary behavior of the Carathéodory metric

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Publication:1582965
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DOI10.1007/BF02686245zbMath0972.32009OpenAlexW1983883856MaRDI QIDQ1582965

Nikolai Nikolov

Publication date: 16 October 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02686245


zbMATH Keywords

plurisubharmonic functionAzukawa metrichigher-order Carathéodory metrics


Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45)





Cites Work

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  • The invariant pseudo-metric related to negative plurisubharmonic functions
  • Nontangential weighted limit of the infinitesimal Carathéodory metric in an \(h\)-extendible boundary point of a smooth bounded pseudoconvex domain in \(\mathbb{C}^n\)
  • Regularity properties of the Azukawa metric
  • \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
  • Pluricomplex Green function, capacitative notions, and approximation problems in C^n
  • Remarks on the pluricomplex Green function
  • Invariant distances and metrics in complex analysis




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