Inner Functions, Möbius Distortion and Angular Derivatives

2025/03/05 by Bampouras, Konstantinos, Nicolau, Artur · 2 citations
#30C80 #30H15 #30J05 #30J15 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.03414

Abstract

We prove that an inner function has finite L (p)-entropy if and only if its accumulated Möbius distortion is in L^p, 0

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• Carleson Measures, Vanishing Mean Oscillation and Critical Points
• Analytic mappings of the unit disk with bounded compression

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