A class of monotone decreasing rearrangements

DOI10.1016/0022-247X(90)90209-XzbMath0714.28002MaRDI QIDQ750644

Jay B. Epperson

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Gaussian measuresLebesgue measurelog-concave densitymonotone decreasing rearrangement of a Borel measurable functionrearrangement inequality for the derivative

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Probabilistic measure theory (60A10)

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Cites Work

• Rearrangements and convexity of level sets in PDE
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• Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes
• Rearrangements of functions and convergence in orlicz spaces
• Logarithmic Sobolev Inequalities
• A General Integral Inequality for the Derivative of an Equimeasurable Rearrangement
• Integral Inequalities for Equimeasurable Rearrangements
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