On local and boundary behavior of mappings in metric spaces
Evgeny Sevost'yanov
TL;DR
This paper investigates the local and boundary behavior of open discrete mappings in metric spaces, providing new results on their continuity and extension properties under modulus conditions.
Contribution
It introduces novel theorems on the boundary extension and local behavior of mappings in metric spaces with modulus conditions.
Findings
Proved theorems on continuous extension to the boundary
Analyzed local behavior of open discrete mappings
Established conditions for boundary continuity
Abstract
Open discrete mappings with a modulus condition in metric spaces are considered. Some results related to local behavior of mappings as well as theorems about continuous extension to a boundary are proved.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Fixed Point Theorems Analysis