5 citations · 5 across the 4 of their papers we have counts for
9 papers
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…
Spectral multipliers in group algebras and noncommutative Calderón-Zygmund theory
Léonard Cadilhac, José M. Conde-Alonso, Javier Parcet
In this paper we solve three problems in noncommutative harmonic analysis which are related to endpoint inequalities for singular integrals. In first place, we prove that an -…
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…
On the dual of variable Lebesgue spaces with unbounded exponent
Alex Amenta, Jose M. Conde-Alonso, David Cruz-Uribe +1
We study the dual space of the variable Lebesgue space $\Lp$ with unbounded exponent function $\pp$ and provide an answer to a question posed in~[fiorenza-cruzuribe2013]. Our appro…
Sparse domination and the strong maximal function
Alex Barron, Jose M. Conde-Alonso, Yumeng Ou +1
We study the problem of dominating the dyadic strong maximal function by -type sparse forms based on rectangles with sides parallel to the axes, and show that such dominati…
BMO from dyadic BMO for nonhomogeneous measures
José M. Conde Alonso
The usual one third trick allows to reduce problems involving general cubes to a countable family. Moreover, this covering lemma uses only dyadic cubes, which allows to use nice ma…