35 citations · 143 across the 47 of their papers we have counts for
54 papers
Maximal weak Orlicz types and the strong maximal on von Neumann algebras
Adrián M. González Pérez, Javier Parcet, Jorge Pérez García
Let and be two sequences of conditional expectations on finite von Neumann algebras. The…
The local geometry of idempotent Schur multipliers
Javier Parcet, Mikael de la Salle, Eduardo Tablate
A Schur multiplier is a linear map on matrices which acts on its entries by multiplication with some function, called the symbol. We consider idempotent Schur multipliers, whose sy…
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…
Noncommutative Cotlar identities for groups acting on tree-like structures
Adrian Gonzalez-Perez, Javier Parcet, Runlian Xia
Let be a noncommutative Fourier multiplier. In recent work, Mei and Ricard introduced a noncommutative analogue of Cotlar's identity in order to prove that certain multiplier…
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…