Covering Lemmas and the Sharp Function

DOI10.2307/2044764zbMath0531.42006OpenAlexW4239368186WikidataQ124971286 ScholiaQ124971286MaRDI QIDQ3312684

Douglas S. Kurtz, Richard J. Bagby

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044764

zbMATH Keywords

covering lemma\(A_{\infty}\) weight functionbest possible inequalities relating the Hardy-Littlewood maximal function and the sharp function

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 (8)

A lower bound for \(A_{p}\) exponents for some weighted weak-type inequalities ⋮ Mixed \(A_1-A_\infty\) bounds for fractional integrals ⋮ Weighted strong-type estimates on classical Lorentz spaces ⋮ Restricted weak-type Rubio de Francia extrapolation for \(p>p_{0}\) with applications to exponential integrability estimates ⋮ A new look at the John-Nirenberg and John-Strömberg theorems for BMO ⋮ Weighted rearrangement inequalities for local sharp maximal functions ⋮ Elliptic equations, rearrangements, and functions of bounded lower oscillation ⋮ Rearrangement-function inequalities and interpolation theory

Cites Work

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• Weak-\(L^\infty\) and BMO
• \(H^p\) spaces of several variables
• On functions of bounded mean oscillation
• A Rearranged Good λ Inequality
• Weighted norm inequalities for maximal functions and singular integrals
• Weighted Norm Inequalities for the Hardy Maximal Function

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