8 papers
Further evidence towards the Fourier Entropy-Influence conjecture
María José González, Paul MacManus, María Cristina Pereyra
The Fourier Entropy-Influence (FEI) conjecture states that the Fourier entropy of Boolean functions is uniformly bounded by their total influence. It has been verified for canonica…
Las funciones booleans y el lema de Bonami
María José González, Paul MacManus, María Cristina Pereyra
In this expository article, we study the relation between the boolean functions and the hypercontractivity theorems of Aline Bonami. We focus on the social choice theory, and prese…
Quasiconformal properties of curves and Dirichlet-type curves
María J. González
Let be a closed Jordan curve, and the conformal mapping that sends the unit disc onto the interior domain of . If belongs to the Dirichlet space $…
Hardy spaces for quasiregular mappings and composition operators
Tomasz Adamowicz, María J. González
We define Hardy spaces for quasiregular mappings in the plane, and show that for a particular class of these mappings many of the classical properties that hold in…
Hausdorff Measures, Dyadic Approximations and Dobiński Set
Alberto Dayan, José L. Fernández, María J. González
Dobiński set is an exceptional set for a certain infinite product identity, whose points are characterized as having exceedingly good approximations by dyadic rationa…
Carleson measures on simply connected domains
María J. González
We study the Carleson measures associated to the Hardy and weighted Bergman spaces defined on general simply connected domains. This program was initiated by Zinsmeister in his pap…