Sur les mesures de Carleson pour l’espace de Dirichlet du bidisque
Giulia Sarfatti
Università degli Studi di Firenze, Italy
http://web.math.unifi.it/users/sarfatti/
Date(s) : 27/03/2017 iCal
10h45 - 11h45
On Carleson’s measures for the Dirichlet space of the bidisc
In this talk we will introduce the Dirichlet space of the complex bidisc, which is the tensor product of two copies of the Dirichlet space of the unit disc. We will discuss the Carleson measures for this space and we will see that they can be characterized in terms of trace inequalities for the bilinear Hardy operator on the two-tree, i.e. the Cartesian product of two copies of ‘a dyadic tree. In this way we translate the problem of the language of holomorphic functions to the discrete language.
This is a work (in progress) in collaboration with Nicola Arcozzi, Pavel Mozolyako and Karl-Mikael Perfekt.
This is a work (in progress) in collaboration with Nicola Arcozzi, Pavel Mozolyako and Karl-Mikael Perfekt.
https://arxiv.org/abs/1811.04990
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