Quantitative absolute continuity of planar measures with two independent Alberti representations

DOI10.1007/s00526-020-1714-xzbMath1445.28003arXiv1904.00756OpenAlexW3102593532MaRDI QIDQ1984768

Tuomas Orponen, David Bate

Publication date: 7 April 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00756

zbMATH Keywords

Radon-Nikodym derivativeRadon measureAlberti representationBoA and BoB conditions

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Integration and disintegration of measures (28A50)

Cites Work

• Unnamed Item
• On the structure of \({\mathcal A}\)-free measures and applications
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Rank one property for derivatives of functions with bounded variation
• A short proof of the multilinear Kakeya inequality
• An inequality related to the isoperimetric inequality

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