Hölder exponents for the pluricomplex green function of Julia type sets

Marta Kosek ()
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Marta Kosek: Jagiellonian University

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 6, 475-492

Abstract: Abstract Assume that the pluricomplex Green function V E of some compact set E ⊂ ℂ N is Hölder continuous and define the Hölder exponent of the set E to be the supremum over all such exponents, with which V E is Hölder continuous. We give some lower bounds of the Hölder exponents for the filled-in and composite Julia sets of polynomial mappings.

Keywords: Pluricomplex Green function; Hölder continuity; polynomial mappings; iteration; complex dynamics; Julia sets (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0029-1

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