Weighted estimates for fractional maximal functions related to spherical means

DOI10.1017/S0004972700020694zbMath1008.42019OpenAlexW2037246756MaRDI QIDQ3153723

Hendra Gunawan, Michael G. Cowling, José García-Cuerva

Publication date: 31 March 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700020694

zbMATH Keywords

norm inequalityweightfractional power of Laplacianfractional maximal functionspherical measure

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items (12)

Boundedness of Stein's spherical maximal function in variable Lebesgue spaces and application to the wave equation ⋮ Boundedness of operators and inequalities on Morrey-Banach spaces ⋮ Extrapolations on ball Banach function spaces and applications ⋮ Operators on Herz-Morrey spaces with variable exponents ⋮ Spherical maximal function on local Morrey spaces with variable exponents ⋮ Extrapolation and interpolation in generalized Orlicz spaces ⋮ Unnamed Item ⋮ Weighted estimates for maximal functions associated with finite type curves in \(\mathbb{R}^2\) ⋮ Bilinear spherical maximal functions of product type ⋮ Spherical maximal function, maximal Bochner-Riesz mean and geometrical maximal function on Herz spaces with variable exponents ⋮ Sparse bounds for spherical maximal functions ⋮ Extrapolation and weighted norm inequalities in the variable Lebesgue spaces

Cites Work

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• Averages in the plane over convex curves and maximal operators
• Extrapolation Results for Classes of Weights
• On maximal functions
• Maximal functions: Spherical means
• Weighted Norm Inequalities for Homogeneous Families of Operators
• Weighted Norm Inequalities for Fractional Integrals
• Spherical Means and Weighted Inequalities
• Weighted Norm Inequalities for the Hardy Maximal Function
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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