1 citations · 1 across the 3 of their papers we have counts for
6 papers
Lower bounds in -transference for crossed-products
Adrián M. González-Pérez
Let be a measure-preserving action and the natural inclusion of the group von Neumann algebra into the cr…
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…
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…
Singular integrals in quantum Euclidean spaces
Adrián M. González-Pérez, Marius Junge, Javier Parcet
In this paper, we establish the core of singular integral theory and pseudodifferential calculus over the archetypal algebras of noncommutative geometry: quantum forms of Euclidean…
A Few Observations on Weaver's Quantum Relations
Adrián M. González-Pérez
The concept of quantum relation over a von Neumann algebra has been recently introduced by Nik Weaver. When is either finite dimensional o…
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…