Maximal Inequalities Related to Generalized A.E. Continuity

DOI10.2307/1998077zbMath0441.42023OpenAlexW4242417817MaRDI QIDQ3882931

W. B. Jurkat, John L. Troutman

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998077

zbMATH Keywords

Lorentz spaceintegral inequalitymaximal inequalitiesmaximal function of positive convolution operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (max. 100)

Extrapolation on \(L^{p,\infty}({\mu})\) ⋮ The Cesàro maximal operator in dimension greater than one. ⋮ A Note on Maximal Operators and Reversible Weak Type Inequalities ⋮ Differential transforms of Cesàro averages in weighted spaces ⋮ Convergence of the lacunary ergodic Cesàro averages ⋮ Multilinear Cesàro maximal operators ⋮ Two weighted ineqalities for maximal functions related to Cesàro convergence ⋮ Weighted Iterates and Variants of the Hardy-Littlewood Maximal Operator

Cites Work

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• On limits of sequences of operators
• One-sided maximal functions and H\(^p\)
• Maximal inequalities of weak type
• The ergodic theorem
• On the theory of spaces \(\Lambda\)
• On the existence of certain singular integrals
• A radial multiplier and a related Kakeya maximal function
• Weak type estimates for the Hardy-Littlewood maximal functions
• On rearranging maximal functions in Rⁿ
• Some Maximal Inequalities

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