Fractal measures for meromorphic functions of finite order
We prove several essential fractal properties, such as positivity, finiteness or local infinity, of Hausdorff and packing measures of radial Julia sets for large subclasses of entire and meromorphic functions considered in our previous work: çGeometric thermodynamical formalism and real analyticity for meromorphic functions of finite order'. Most of the results proven are shown to be optimal.
Document Type: Research Article
Affiliations: 1: Université de Lille I, UFR de Mathématiques, 59655 Villeneuve d'Ascq Cedex, France 2: Department of Mathematics, University of North Texas, Denton, TX 76203-1430, USA
Publication date: 01 June 2007
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