Spectral orders and convolution

DOI10.1007/BF01904780zbMath0576.46017OpenAlexW36550702MaRDI QIDQ1065320

Yūji Sakai

Publication date: 1984

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904780

zbMATH Keywords

convolution productprobability density functionsspectral ordersShannon's differential entropy of a probability density functionstrong spectral inequalitysymmetrical decreasing rearrangementweak spectral inequality

Mathematics Subject Classification ID

Partial orders, general (06A06) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Entropy and other invariants (28D20) Inequalities for sums, series and integrals (26D15)

Cites Work

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• A new rearrangement inequality for multiple integrals
• Rearrangement inequality for periodic functions
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• A general rearrangement inequality for multiple integrals
• Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications
• A “Star Inequality” for Harmonic Functions
• Decreasing Rearrangements and Doubly Stochastic Operators
• Note on a Theorem of Gabriel

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