On perturbations of pluriregular sets generated by sequences of polynomial maps
Volume 80 / 2003
Annales Polonici Mathematici 80 (2003), 171-184
MSC: Primary 32U35, 32H50; Secondary 32U05, 46G20.
DOI: 10.4064/ap80-0-14
Abstract
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.
