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math.CA2023★ 1 cited
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.
math.CA2023★ 2 cited
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…