The spherical maximal operator on radial functions

DOI10.1016/j.jmaa.2011.09.028zbMath1235.42013OpenAlexW2052150574MaRDI QIDQ655469

Osane Oruetxebarria, Adela Moyua, Javier Duoandikoetxea

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.028

zbMATH Keywords

power weightsradial functionsspherical maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items

Two-Weight Mixed Norm Estimates for a Generalized Spherical Mean Radon Transform Acting on Radial Functions ⋮ Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions ⋮ Spherical maximal function on local Morrey spaces with variable exponents ⋮ Weighted estimates for maximal functions associated with finite type curves in \(\mathbb{R}^2\) ⋮ Bilinear spherical maximal functions of product type ⋮ Estimates for radial solutions to the wave equation ⋮ Maximal estimates for a generalized spherical mean Radon transform acting on radial functions

Cites Work

• Unnamed Item
• Unnamed Item
• Averages in the plane over convex curves and maximal operators
• Local Hardy-Littlewood maximal operator
• Radial weights and mixed norm inequalities for the disc multiplier
• Corrigenda to ``Unique continuation for Schrödinger operators and a remark on interpolation of Morrey spaces
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Radial $A_p$ weights with applications to the disc multiplier and the Bochner-Riesz operators
• Integral inequalities with weights for the Hardy maximal function
• Transplantation theorems and multiplier theorems for Jacobi series
• A Note on the Spherical Maximal Operator for Radial Functions
• Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
• Maximal functions: Spherical means
• ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS
• Spherical maximal operator on symmetric spaces of constant curvature
• Spherical Means and Weighted Inequalities
• Some Maximal Inequalities
• \(k\)-plane transforms and related operators on radial functions