Characterizing the derivative and the entropy function by the Leibniz rule

DOI10.1016/J.JFA.2011.05.003zbMath1231.39011OpenAlexW2095003696MaRDI QIDQ549658

Hermann Koenig, Vitali D. Milman

Publication date: 18 July 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.05.003

zbMATH Keywords

functional equationsderivatives

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22)

Related Items (10)

Rigidity of the Chain Rule and Nearly Submultiplicative Functions ⋮ BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ On Rubel type operator equations on the space of analytic functions ⋮ Comments on various extensions of the Riemann-Liouville fractional derivatives: about the Leibniz and chain rule properties ⋮ Rigidity and stability of the Leibniz and the chain rule ⋮ Operator equations and domain dependence, the case of the Schwarzian derivative ⋮ The derivation equation for \(C^k\)-functions: stability and localization ⋮ Operator Functional Equations in Analysis ⋮ A description of derivation operators with respect to convolution of generalized Gel'fond-Leont'ev integration ⋮ An operator equation characterizing the Laplacian

Cites Work

• Unnamed Item
• The chain rule as a functional equation
• A characterization of product preserving maps with applications to a characterization of the Fourier transform

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