On the harmonic and geometric maximal operators

DOI10.7153/mia-2018-21-20zbMath1395.42045arXiv1604.06791OpenAlexW2963833954MaRDI QIDQ4604551

Linden Anne Duffee, Kabe Moen

Publication date: 2 March 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06791

zbMATH Keywords

maximal operatorsweighted inequalitiesharmonic maximal operator

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) Function spaces arising in harmonic analysis (42B35)

Related Items (1)

Best constants in some estimates for the harmonic maximal operator on the real line

Cites Work

• On the \(A_\infty\) conditions for general bases
• Weighted Solyanik estimates for the Hardy-Littlewood maximal operator and embedding of \(\mathcal A_\infty\) into \(\mathcal A_p\)
• Sharp weighted bounds involving \(A_\infty\)
• Weighted norm inequalities for the geometric maximal operator
• Norm inequalities for the minimal and maximal operator, and differentiation of the integral
• Weighted Solyanik estimates for the strong maximal function
• Sharp weighted bounds without testing or extrapolation
• The multilinear strong maximal function
• Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases
• A $B_p$ condition for the strong maximal function
• Weighted Inequalities for Maximal Operators: Linearization, Localization and Factorization
• A Remark on Weighted Inequalities for General Maximal Operators
• The minimal operator and the geometric maximal operator in Rⁿ
• Weighted inequalities for the maximal geometric mean operator
• The Structure of the Reverse Holder Classes

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