Rigidity of proper holomorphic maps between balls with Hölder boundary regularity

Journal of the London Mathematical Society 2026 Open access

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Authors: Kyle Huang, Jinwoo Park, Aleksander Skenderi, Jaan Amla Srimurthy, Ruo Wen, Andrew Zimmer
DOI: 10.1112/jlms.70739
Cited by: 0

Abstract

Abstract In this paper, we prove a rigidity result for proper holomorphic maps between unit balls that have many symmetries and which extend to Hölder continuous maps on the boundary, with Hölder exponent strictly greater than .

Fields of Study & Subjects

Analytic and geometric function theory Holomorphic and Operator Theory Geometry and complex manifolds

Publication details

Journal / source
Journal of the London Mathematical Society
Volume
114
Issue
4
Publication date
1 October 2026
Language
EN