paper

Rigidity of proper holomorphic maps between balls with Hölder boundary regularity

arXiv:2602.05795

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 1/2.

v2: 20 pages. Minor changes to introduction. Comments welcome!

Rigidity of proper holomorphic maps between balls with Hölder boundary regularity · wovepaper