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Seminários do IMPA

Análise / Equações Diferenciais Parciais

Regularity theory of maximal operators - recent progress and open problems
Emanuel Carneiro

Quinta-feira, 18 de janeiro de 2018, 15:30
Sala 232

This talk will be a brief survey of past and recent results on the regularity of maximal operators acting on Sobolev and BV functions. The problems in this area can be posed either in a continuous or in a discrete setting - each format bearing their own challenges. We will present some results for the classical Hardy-Littlewood maximal operator, for operators of convolution type (associated to elliptic and parabolic PDE’s) and also for fractional maximal operators - and discuss at length some of the related open problems. The talk will be fully accessible to a broad audience.