Weak and extra-weak type inequalities for the maximal operator and the Hilbert transform

DOI10.21136/cmj.1993.128412zbMath0798.42009OpenAlexW1463596677MaRDI QIDQ4288145

Amiran Gogatishvili, Luboš Pick

Publication date: 30 October 1994

Full work available at URL: https://eudml.org/doc/31359

zbMATH Keywords

Hilbert transformOrlicz spacesHardy-Littlewood maximal operator\(A_ p\) conditionstwo-weights weak type inequalities

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) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (7)

On the \(A_\infty\) conditions for general bases ⋮ On Hardy-type inequalities as an intellectual adventure for 100 years ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Weights and L log L
• Weighted weak type integral inequalities for the Hardy-Littlewood maximal operator
• Integral inequalities with weights for the Hardy maximal function
• Two-weight weak type maximal inequalities in Orlicz classes
• Weighted norm inequalities for maximal functions and singular integrals
• Weighted Norm Inequalities for the Hardy Maximal Function
• Distribution Function Inequalities for Singular Integrals
• Weak bounds for the maximal function in weighted Orlicz spaces
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