Conformal Transformation of Uniform Domains Under Weights That Depend on Distance to The Boundary

The sphericalization procedure converts a Euclidean space into a compact sphere. In this note we propose a variant of this procedure for locally compact, rectifiably path-connected, non-complete, unbounded metric spaces by using conformal deformations that depend only on the distance to the boundary...

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Bibliographic Details
Main Authors: Gibara Ryan, Shanmugalingam Nageswari
Format: Article
Language:English
Published: De Gruyter 2022-09-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2022-0141