Set-Valued Analysis

, 14:55 | Cite as

Strong Analyticity of Partly Filled-in Composite Julia Sets

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Abstract

It is shown that a composite Julia set generated by an infinite array of polynomial mappings is strongly analytic when regarded as a multifunction of the generating maps. An example of such a multifunction, the values of which have Hölder Continuity Property, is constructed.

Key words

analytic multi-functions set-valued analytic functions composite Julia sets polynomial convexity 

Mathematics Subject Classifications (2000)

Primary 32A12, 32H50, 26E25 Secondary 32U05, 46G20 
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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of MathematicsUppsala UniversityUppsalaSweden
  2. 2.Institute of MathematicsJagiellonian UniversityKrakówPoland

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