An existence criterion for maximizers of convolution operators in \(L_1(\mathbb{R}^n)\)

DOI10.3103/S0027132221040033zbMath1478.39024OpenAlexW3211806852MaRDI QIDQ2666945

G. V. Kalachev, Sergey Yu. Sadov

Publication date: 23 November 2021

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132221040033

zbMATH Keywords

convolution operatormaximizerCauchy's functional equationmeasurable solutionPexider's equationspace \(L_1\)

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for complex functions (39B32)

Related Items (1)

Existence of convolution maximizers in \(L_p(\mathbb{R}^n)\) with kernels from Lorentz spaces

Cites Work

• Remarks on the Cauchy functional equation and variations of it
• Cauchy's Cours d'analyse. An annotated translation
• A General Functional Equation
• On maximizers of a convolution operator in -spaces
• On almost additive functions
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