A maximal function characterisation of absolutely continuous measures and Sobolev functions

DOI10.4171/RLM/862zbMath1427.42022arXiv1807.08266OpenAlexW2971547842MaRDI QIDQ2335824

Yanyan Li

Publication date: 15 November 2019

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.08266

zbMATH Keywords

maximal functionsSobolev functionsregular Lagrangian flows\(BV\) functionssingular measures

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Spaces of measures (46E27) Functions of bounded variation, generalizations (26A45)

Related Items (1)

Differentiability in measure of the flow associated with a nearly incompressible BV vector field

Cites Work

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• Differential equations with singular fields
• Transport equation and Cauchy problem for BV vector fields
• Ordinary differential equations, transport theory and Sobolev spaces
• Estimates and regularity results for the DiPerna-Lions flow
• Classical and Multilinear Harmonic Analysis

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