An inequality for equimeasurable rearrangements and its application in the theory of differentiation of integrals

DOI10.1007/BF01982009zbMath0598.26025OpenAlexW1799623917MaRDI QIDQ1079680

Alexander Stokolos

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01982009

zbMATH Keywords

Lebesgue measurable functionsdifferential basisdifferentiability of multiple integralsnondecreasing rearrangementsnonnegative measurable functions

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Inequalities for sums, series and integrals (26D15) Functions of several variables (26B99) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (7)

Unnamed Item ⋮ Differentiation of integrals of equimeasurable functions ⋮ Rotation of coordinate system and differentiation of integrals with respect to translation-invariant bases ⋮ On a problem of Zygmund ⋮ On sets of singular rotations for translation invariant differentiation bases formed by intervals ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Period, index and potential \(\text Ш\)
• Stone Duality for Nominal Boolean Algebras with И
• A negative result in differentiation theory
• Rearrangements of functions and convergence in orlicz spaces
• A Counter-Example in the Theory of Strong Differentiation
• Note on the differentiability of multiple integrals

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