5 citations · 6 across the 7 of their papers we have counts for
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Trigonometric chaos and inequalities II -- inequalities in group von Neumann algebras
Antonio Ismael Cano-Mármol, José M. Conde-Alonso, Javier Parcet
In the line of previous work by Naor, we establish new forms of metric inequalities in group algebras under very general assumptions. Our results' applicability goes…
Trigonometric chaos and inequalities I -- Balanced Fourier truncations over discrete groups
Antonio Ismael Cano-Mármol, José M. Conde-Alonso, Javier Parcet
We investigate -estimates for balanced averages of Fourier truncations in group algebras, in terms of differential operators acting on them. Our results extend a fundamental i…
A Hörmander-Mikhlin theorem for high rank simple Lie groups
José M. Conde-Alonso, Adrián M. González-Pérez, Javier Parcet +1
We establish regularity conditions for -boundedness of Fourier multipliers on the group von Neumann algebras of higher rank simple Lie groups. This provides a natural Hörmande…
Schur multipliers in Schatten-von Neumann classes
José M. Conde-Alonso, Adrián M. González-Pérez, Javier Parcet +1
We establish a rather unexpected and simple criterion for the boundedness of Schur multipliers on Schatten -classes which solves a conjecture proposed by Mikael de la Sall…
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…