Rearrangements and polar factorisation of countably degenerate functions

DOI10.1017/S0308210500021703zbMath0910.28011OpenAlexW2323629909MaRDI QIDQ4212391

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Publication date: 19 April 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500021703

zbMATH Keywords

rearrangementvector-valued functionpolar factorizationmeasure-preserving mappingBrenier's theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items

Polar factorization and pseudo-rearrangements: applications to Pólya-Szegö type inequalities ⋮ Uniqueness of the polar factorisation and projection of a vector-valued mapping.

Cites Work

• Unnamed Item
• An elementary proof of the polar factorization of vector-valued functions
• Existence and uniqueness of monotone measure-preserving maps
• Measure preserving transformations and rearrangements
• Polar factorization and monotone rearrangement of vector‐valued functions
• Rearrangements of Vector Valued Functions, with Application to Atmospheric and Oceanic Flows

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