Dimension distortion under compactly Holder mappings
Published on:
8 May 2024
Primary Category:
Dynamical Systems
Paper Authors:
Efstathios Konstantinos Chrontsios Garitsis
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Key Details
Introduces compactly Holder maps using purely metric tools
Shows Newtonian-Sobolev maps are compactly Holder under standard assumptions
Proves quantitative bound on Minkowski dimension distortion
Result is new even for weighted Euclidean spaces
Generalizes prior work on dimension distortion
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AI generated summary
Dimension distortion under compactly Holder mappings
This paper introduces compactly Holder mappings between metric spaces, which resemble Sobolev mappings but without requiring a measure. It shows these mappings distort the Minkowski dimension of a set, providing quantitative bounds. Even for Sobolev maps between weighted Euclidean spaces, the result generalizes prior work.
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