Regularity of general maximal and minimal functions

DOI10.1007/S00009-023-02485-0zbMath1526.42030MaRDI QIDQ6095359

No author found.

Publication date: 8 September 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundednessmaximal operatorbounded variationminimal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Discrete version of topics in analysis (39A12) Functions of bounded variation, generalizations (26A45)

Related Items (1)

A Note on BV Continuity of Discrete Maximal Operators

Cites Work

• Unnamed Item
• Unnamed Item
• The Hardy-Littlewood maximal function of a Sobolev function
• Norm inequalities for the minimal and maximal operator, and differentiation of the integral
• Regularity of fractional maximal functions through Fourier multipliers
• The variation of the maximal function of a radial function
• Endpoint regularity of the discrete multisublinear fractional maximal operators
• Variation of the uncentered maximal characteristic function
• Regularity and continuity of the multilinear strong maximal operators
• Regularity of the centered fractional maximal function on radial functions
• Endpoint Sobolev and BV continuity for maximal operators
• Endpoint Sobolev bounds for fractional Hardy-Littlewood maximal operators
• Derivative bounds for fractional maximal functions
• On the variation of the Hardy-Littlewood 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
• On the regularity of maximal operators
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
• A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
• The Structure of the Reverse Holder Classes
• Endpoint Regularity of Multisublinear Fractional Maximal Functions
• Endpoint Sobolev Continuity of the Fractional Maximal Function in Higher Dimensions
• The frequency function and its connections to the Lebesgue points and the Hardy–Littlewood maximal function
• On a discrete version of Tanaka’s theorem for maximal functions
• The Variation of the Fractional Maximal Function of a Radial Function

This page was built for publication: Regularity of general maximal and minimal functions