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math.CA2019
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
Gaussians never extremize Strichartz inequalities for hyperbolic paraboloids
Emanuel Carneiro, Lucas Oliveira, Mateus Sousa
For let be a quadratic form with signs not all equal. Let $S \subset \mathbb{R}^{d…