Weighted inequalities for the maximal geometric mean operator

DOI10.1090/S0002-9939-96-03252-2zbMath0853.42015MaRDI QIDQ4874304

Xiangrong Yin, Benjamin Muckenhoupt

Publication date: 19 May 1996

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

zbMATH Keywords

strong typetwo-weight estimatesweak typemaximal geometric mean operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Inequalities for sums, series and integrals (26D15)

Related Items (15)

STRONG AND WEAK WEIGHTED NORM INEQUALITIES FOR THE GEOMETRIC FRACTIONAL MAXIMAL OPERATOR ⋮ Two weight characterizations for the multilinear local maximal operators ⋮ Boundedness of operators and inequalities on Morrey-Banach spaces ⋮ Weighted estimates for the multisublinear maximal function ⋮ On the harmonic and geometric maximal operators ⋮ Sharp inequalities for geometric maximal operators associated with general measures ⋮ SHARP WEIGHTED BOUNDS FOR GEOMETRIC MAXIMAL OPERATORS ⋮ Extrapolation to Herz spaces with variable exponents and applications ⋮ Weighted inequalities in martingale spaces ⋮ Weighted integral inequalities for the maximal geometric mean operator in martingales ⋮ Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces ⋮ Sharp weighted logarithmic bound for maximal operators ⋮ Weighted inequalities for the one-sided geometric maximal operators ⋮ Fractional geometrical maximal functions on Morrey spaces with variable exponents ⋮ Weighted norm inequalities for geometric fractional maximal operators

Cites Work

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• A Remark on the Maximal Function for Measures in R n
• A Description of Weights Satisfying the A ∞ Condition of Muckenhoupt
• A characterization of a two-weight norm inequality for maximal operators
• Weighted Norm Inequalities for the Hardy Maximal Function
• The equivalence of two conditions for weight functions

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