The Burns-Krantz rigidity with an interior fixed point
Feng Rong
TL;DR
This paper proves a boundary rigidity result for holomorphic self-maps with an interior fixed point near strongly pseudoconvex points, confirming a conjecture of Huang.
Contribution
It establishes a Burns-Krantz type boundary rigidity theorem for holomorphic self-maps with an interior fixed point, advancing understanding of boundary behavior.
Findings
Proves boundary rigidity near strongly pseudoconvex points.
Confirms Huang's conjecture on boundary behavior.
Extends Burns-Krantz rigidity results to new settings.
Abstract
We prove a Burns-Krantz type boundary rigidity near strongly pseudoconvex points for holomorphic self-maps with an interior fixed point. This confirms a conjecture of Huang.
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