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On some biholomorphic invariants in the analysis on manifolds

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Analytic Functions Kozubnik 1979

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 798))

Abstract

The paper gives an exposition of recent results connected with applications of the Bergman function and complex capacities (intrinsic semi-norms), in particular in the case of a strictly pseudoconvex domain, smooth extensions of biholomorphic mappings (with the use of ∂ Neumann problem), nonlinear Dirichlet problems, and foliations related to the generalized complex Monge-Ampère equations. The paper includes recent, unpublished results of the first named author which extend some achievements of E. Bedford and M. Kalka to the case of foliations related to the generalized complex Monge-Ampère equations.

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Authors and Affiliations

  1. Institute of Mathematics of the, Polish Academy of Sciences, Łódź Branch, Kilińskiego 86, PL-90-012, Łódź, Poland

    Jerzy Kalina & Julian Ławrynowicz

  2. Osiedle Przyjaźń 15 m. 4, PL-00-905, Warszawa Jelonki, Poland

    Ewa Ligocka

  3. Institute of Mathematics, University of Warsaw Pałac Kultury i Nauki, IX p., PL-00-901, Warszawa, Poland

    Maciej Skwarczyński

Authors
  1. Jerzy Kalina
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  2. Julian Ławrynowicz
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  3. Ewa Ligocka
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  4. Maciej Skwarczyński
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Julian Ławrynowicz

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Kalina, J., Ławrynowicz, J., Ligocka, E., Skwarczyński, M. (1980). On some biholomorphic invariants in the analysis on manifolds. In: Ławrynowicz, J. (eds) Analytic Functions Kozubnik 1979. Lecture Notes in Mathematics, vol 798. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097268

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  • DOI: https://doi.org/10.1007/BFb0097268

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  • Print ISBN: 978-3-540-09985-7

  • Online ISBN: 978-3-540-39247-7

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