2 citations · 5 across the 7 of their papers we have counts for
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A homage to Guido Weiss and his leadership of the Saint Louis team: Commutators of Singular Integrals and Sobolev inequalities
Cong Hoang, Kabe Moen, Carlos Pérez
We extend some classical Sobolev-type inequalities for linear and non-linear commutators.
Pointwise estimates for rough operators with applications to Sobolev inequalities
Cong Hoang, Kabe Moen, Carlos Pérez
We investigate Sobolev inequalities for several rough operators. We prove that several operators satisfy a pointwise bound by the Riesz potential applied to the gradient. From this…
Weighted fractional Poincaré inequalities via isoperimetric inequalities
Kim Myyryläinen, Carlos Pérez, Julian Weigt
Our main result is a weighted fractional Poincaré-Sobolev inequality improving the celebrated estimate by Bourgain-Brezis-Mironescu. This also yields an improvement of the classica…
On the weighted inequality between the Gagliardo and Sobolev seminorms
Ritva Hurri-Syrjänen, Javier C. Martínez-Perales, Carlos Pérez +1
We prove weighted inequalities between the Gagliardo and Sobolev seminorms and also between the Marcinkiewicz quasi-norm and the Sobolev seminorm. With weights we improve ear…