Higher Summability and Discrete Weighted Muckenhoupt and Gehring Type Inequalities

DOI10.1017/S0013091519000014zbMath1454.42017OpenAlexW2922002262WikidataQ128237690 ScholiaQ128237690MaRDI QIDQ5236938

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Publication date: 16 October 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091519000014

zbMATH Keywords

interpolationreverse Hölder inequalityHardy's type inequalityhigher summabilityweighted Gehring's inequalityweighted Muckenhoupt's inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability and absolute summability of Fourier and trigonometric series (42A24) Inequalities involving other types of functions (26D07)

Related Items (14)

Some further properties of discrete Muckenhoupt and Gehring weights ⋮ Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes ⋮ Quantitative dependence of some discrete limiting classes on the Muckenhoupt \(\mathcal{A}_1(u)\) class ⋮ Exact exponents for inclusion of discrete Muckenhoupt classes into Gehring classes and reverse ⋮ Discrete Opial type inequalities for interval-valued functions ⋮ The weighted discrete Gehring classes, Muckenhoupt classes and their basic properties ⋮ Boundedness of both discrete Hardy and Hardy-Littlewood maximal operators via Muckenhoupt weights ⋮ Self-improving properties of discrete Muckenhoupt weights ⋮ Properties of a generalized class of weights satisfying reverse Hölder's inequality ⋮ Sharp self-improving property of discrete Muckenhoupt and Gehring weights ⋮ Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems ⋮ On structure of discrete Muckenhoupt and discrete Gehring classes ⋮ On discrete weighted Hardy type inequalities and properties of weighted discrete Muckenhoupt classes ⋮ Discrete Hardy's type inequalities and structure of discrete class of weights satisfy reverse Hölder's inequality

Cites Work

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• On the endpoint regularity of discrete maximal operators
• Endpoint regularity of discrete multisublinear fractional maximal operators associated with \(\ell^1\)-balls
• Higher integrability results
• Lower bounds for matrices
• Reverse Hölder inequalities with constant close to 1
• The exact continuation of a reverse Hölder inequality and Muckenhoupt's conditions
• Discrete analogues in harmonic analysis. II: Fractional integration
• Discrete analogues in harmonic analysis: spherical averages
• Two discrete fractional integral operators revisited
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• On sharp reiteration theorems and weighted norm inequalities
• Derivative bounds for fractional maximal functions
• SHARP INEQUALITIES FOR THE VARIATION OF THE DISCRETE MAXIMAL FUNCTION
• On Weak Reverse Integral Inequalities for Mean Oscillations
• Remarks on the stability of reverse Hölder inequalities and quasiconformal mappings
• A reversed Hardy inequality
• The Muckenhoupt class A₁(R)
• A note on reversed Hardy inequalities and Gehring's lemma
• On L^p-integrability in PDE's and quasiregular mappings for large exponents
• A new approach to Gehring's Lemma
• Discrete analogues in harmonic analysis, I: l 2[superscript estimates for singular radon transforms]
• On a discrete version of Tanaka’s theorem for maximal functions
• Hardy's inequality with weights
• Weighted Norm Inequalities for the Hardy Maximal Function
• The 𝐿^{𝑝}-integrability of the partial derivatives of a quasiconformal mapping

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