Generalized Dimension Distortion under Mappings of Sub-Exponentially Integrable Distortion
Tapio Rajala, Aleksandra Zapadinskaya, Thomas Z\"urcher
TL;DR
This paper establishes a sharp estimate for how mappings with sub-exponentially integrable distortion affect dimensions in Euclidean spaces, advancing understanding of geometric distortion in mathematical analysis.
Contribution
It provides a new dimension distortion estimate for a broad class of mappings with sub-exponentially integrable distortion, extending previous results.
Findings
Dimension distortion estimate proved for sub-exponentially integrable distortion
Result is essentially sharp in the plane
Advances understanding of geometric distortion in Euclidean spaces
Abstract
We prove a dimension distortion estimate for mappings of sub-exponentially integrable distortion in Euclidean spaces, which is essentially sharp in the plane.
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Taxonomy
TopicsAnalytic and geometric function theory · Numerical methods in inverse problems · Advanced Harmonic Analysis Research