1.1k citations
- Centre National de la Recherche ScientifiqueFR105 papers
- Universidade Federal FluminenseBR42 papers
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- Instituto de Pesquisas Jardim Botânico do Rio de JaneiroBR31 papers
- Laboratoire de Mathématiques Raphaël SalemFR29 papers
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- Universidade Federal do Rio de JaneiroBR26 papers
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Showing 2019 · math.CAShow all
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math.CA2019★ 7 cited
Regularity of maximal operators: recent progress and some open problems
Emanuel Carneiro
This is an expository paper on the regularity theory of maximal operators, when these act on Sobolev and BV functions, with a special focus on some of the current open problems in…
math.CA2019★ 9 cited
Gradient bounds for radial maximal functions
Emanuel Carneiro, Cristian González-Riquelme
In this paper we study the regularity properties of certain maximal operators of convolution type at the endpoint , when acting on radial data. In particular, for the heat flo…