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math.FA2019
Noncommutative strong maximals and almost uniform convergence in several directions
José M. Conde-Alonso, Adrián M. González-Pérez, Javier Parcet
Our first result is a noncommutative form of Jessen/Marcinkiewicz/Zygmund theorem for the maximal limit of multiparametric martingales or ergodic means. It implies bilateral almost…
math.FA2019★ 1 cited
Hölder classes via semigroups and Riesz transforms
Adrián M. González-Pérez
We define Hölder classes associated with a Markovian semigroup and prove that, when the semigroup satisfies the condition, the Riesz transforms are bounded betwe…
math.FA2015
Smooth Fourier multipliers in group algebras via Sobolev dimension
Adrián M. González-Pérez, Marius Junge, Javier Parcet
We investigate Fourier multipliers with smooth symbols defined over locally compact Hausdorff groups. Our main results in this paper establish new Hörmander-Mikhlin criteria for sp…