Cauchy Difference Operator in Some Orlicz Spaces

DOI10.1007/978-3-030-28972-0_17zbMath1448.39035OpenAlexW2982461831MaRDI QIDQ5120033

Stanisław Siudut

Publication date: 9 September 2020

Published in: Ulam Type Stability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28972-0_17

zbMATH Keywords

Orlicz spacesUlam stabilityCauchy difference operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Difference operators (39A70)

Cites Work

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• Stability has many names
• Orlicz spaces and modular spaces
• Stability of the Cauchy type equations in the class of differentiable functions
• Lipschitz stability of the Cauchy and Jensen equations
• Stability of the Cauchy type equations in \({\mathfrak L}_ p\) norms
• Cauchy difference operator in \({\mathcal L}^p\)
• Ulam stability of operators
• Hyers-Ulam stability with respect to gauges
• Functions with measurable differences
• Group Representations and Stability of Functional Equations
• Measure Theory
• Remarque sur l'équation fonctionnelle f(x+y)=f(x)+f(y)
• Approximate homomorphisms

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