On the continuity of maximal operators of convolution type at the derivative level

DOI10.1007/s11856-022-2375-6OpenAlexW3172517926MaRDI QIDQ2698441

Cristian González-Riquelme

Publication date: 24 April 2023

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

Full work available at URL: https://arxiv.org/abs/2105.15020

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Functions of one variable (26Axx) Linear function spaces and their duals (46Exx)

Related Items

Endpoint regularity of discrete multilinear maximal and minimal operators

Cites Work

• The Hardy-Littlewood maximal function of a Sobolev function
• Elliptic partial differential equations of second order
• On the variation of maximal operators of convolution type II
• On the continuous and discontinuous maximal operators
• BV continuity for the uncentered Hardy-Littlewood maximal operator
• Variation of the uncentered maximal characteristic 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
• Sunrise strategy for the continuity of maximal operators
• On the variation of the Hardy-Littlewood maximal function
• Regularity of Maximal Operators: Recent Progress and Some Open Problems
• Continuity of the maximal operator in Sobolev spaces
• Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities
• A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
• Gradient bounds for radial maximal functions
• Endpoint Sobolev Continuity of the Fractional Maximal Function in Higher Dimensions
• An Extension Problem Related to the Fractional Laplacian
• Convex Analysis