Gradient bounds for radial maximal functions

DOI10.5186/aasfm.2021.4631zbMath1479.42047arXiv1906.01487OpenAlexW2948839649MaRDI QIDQ4958536

Cristian González-Riquelme, Emanuel Carneiro

Publication date: 14 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01487

zbMATH Keywords

Sobolev spacesconvolutionspheremaximal operatorsbounded variation

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Endpoint Sobolev bounds for fractional Hardy-Littlewood maximal operators, Sunrise strategy for the continuity of maximal operators, Continuity for the one-dimensional centered Hardy-Littlewood maximal operator at the derivative level, On the continuity of maximal operators of convolution type at the derivative level

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the endpoint regularity of discrete maximal operators
• Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function
• The Hardy-Littlewood maximal function of a Sobolev function
• On the variation of maximal operators of convolution type II
• Regularity of fractional maximal functions through Fourier multipliers
• The variation of the maximal function of a radial function
• Endpoint Sobolev and BV continuity for maximal operators. II
• Endpoint Sobolev and BV continuity for maximal operators
• On the variation of maximal operators of convolution type
• Derivative bounds for fractional maximal functions
• SHARP INEQUALITIES FOR THE VARIATION OF THE DISCRETE MAXIMAL FUNCTION
• On the variation of the Hardy-Littlewood maximal function
• On approximate differentiability of the maximal function
• Continuity of the maximal operator in Sobolev spaces
• Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
• A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
• Sharp total variation results for maximal functions
• A note on the endpoint regularity of the discrete maximal operator
• Regularity of maximal functions on Hardy–Sobolev spaces
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Endpoint Sobolev Continuity of the Fractional Maximal Function in Higher Dimensions
• Poincaré inequalities for the maximal function
• The Variation of the Fractional Maximal Function of a Radial Function