On Bloch's Theorem and the contraction mapping principle

2017/02/03 by Jean C. Cortissoz, Cortissoz, Jean C., Julio A. Montero +1 · 1 citation
Mathematics · #30D45 #Advanced Topics in Algebra #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1702.01080

openalex publication_date 2017/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give a new proof, relying on Banach's contraction mapping principle, of a celebrated theorem of André Bloch. Also, via the same contraction mapping principle, we give a proof of a Bloch type theorem for normalised Wu K-mappings.

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