On the comparison of translation invariant convex differentiation bases

DOI10.1515/GMJ-2023-2070OpenAlexW4390483668MaRDI QIDQ6126207

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Publication date: 9 April 2024

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2023-2070

zbMATH Keywords

maximal operatortranslation invariant basisdifferentiation of integrals

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Abstract differentiation theory, differentiation of set functions (28A15)

Cites Work

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• On the possible values of upper and lower derivatives with respect to convex differential bases.
• Differentiation of integrals in \(\mathbb{R}^n\)
• Concerning the possible values of upper and lower derivatives
• On an equivalency of rare differentiation bases of rectangles
• On the equivalence of a strong symmetrical and a strong complete differentiation basis
• On the differentiation of integrals with respect to translation invariant convex density bases
• Rotation of coordinate system and differentiation of integrals with respect to translation-invariant bases

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