On perturbations of pluriregular sets generated by sequences of polynomial maps

• Autorzy: Maciej Klimek
• Języki publikacji: EN

Abstrakty

EN

It is shown that an infinite sequence of polynomial mappings of several complex variables, with suitable growth restrictions, determines a filled-in Julia set which is pluriregular. Such sets depend continuously and analytically on the generating sequences, in the sense of pluripotential theory and the theory of set-valued analytic functions, respectively.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 32H50: Iteration problems
• 32U35: Pluricomplex Green functions
• 32U05: Plurisubharmonic functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 80
• Numer: 1
• Strony: 171-184

Daty

wydano

2003

Twórcy

autor

Maciej Klimek

• Department of Mathematics, Uppsala University, P.O. Box 480, 751-06 Uppsala, Sweden

Identyfikatory

DOI

10.4064/ap80-0-14