33
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Holomorphic maps on with attracting hypersurfaces and pluricomplex Green functions for their repellers

Pages 675-681 | Received 10 Sep 2005, Accepted 16 Mar 2006, Published online: 10 Oct 2011

References

  • Akin , E . 1993 . The General Topology of Dynamical systems, Graduate Studies in Mathematics , Vol. 1 , Providence, RI : American Math. Society .
  • Beardon , A . 1991 . Iteration of Rational Functions, Graduate Texts in Mathematics , Vol. 132 , New York : Springer-Verlag .
  • Brolin , H . 1965 . Invariant sets under iteration of rational functions . Arkiv för Matematik , 6 ( 6 ) : 103 – 144 .
  • Fornaess , JE and Sibony , N . 1994 . Complex dynamics in higher dimension, I . Astérisque , 222 : 201 – 231 .
  • Klimek , M . 1991 . Pluripotential Theory, London Mathematical Society Monographs, New Series , Vol. 6 , New York : Oxford University Press .
  • Klimek , M . 1995 . Metrics associated with extremal plurisubharmonic functions . Proceedings of the American Mathematical Society , 123 ( 9 ) : 2763 – 2770 .
  • Klimek , M . 2001 . Iteration of analytic multifunctions . Nagoya Mathematical Journal , 162 : 19 – 40 .
  • Kostrikin , AI and Manin , Yu.I. 1997 . Linear Algebra and Geometry , Amsterdam : Gordon & Breach .
  • Kuratowski , K . 1977 . Introduction to the Theory of Sets and Topology, International Series of Monographs in Pure and Applied Mathematics , Vol. 101 , Warsaw : PWN–Polish Scientific Publishers . Oxford–New York–Toronto: Pergamon Press
  • Łojasiewicz , S . 1991 . An Introduction to Complex Analytic Geometry , Basel : Birkhäuser Verlag .
  • Siciak , J . 1997 . On metrics associated with extremal plurisubharmonic functions . Polish Academy of Sciences. Bulletin of Mathematics , 45 ( 2 ) : 151 – 161 .
  • Stawiska , M . 2004 . Plurisubharmonic Lyapunov functions . The Michigan Mathematical Journal , 52 : 131 – 140 .
  • Stoll , W . 1977 . Value Distribution on Parabolic Spaces, Lecture Notes in Mathematics , Vol. 600 , New York : Springer-Verlag .
  • Takeuchi , A . 1964 . Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif . Journal of the Mathematical Society of Japan , 16 : 159 – 181 .
  • Zeriahi , A . 1991 . Fonction de Green pluricomplexe à pôle à l'infini sur un espace de Stein parabolique et applications . Mathematica Scandinavica , 69 : 89 – 126 .
  • Zeriahi , A . 2000 . A criterion of algebraicity for Lelong classes and analytic sets . Acta Mathematica , 184 : 113 – 143 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.