Essential norms of weighted composition operators between Hardy spaces $H^p$ and $H^q$ for $1<= p,q<=infty$.

Romain Demazeux (1)

1 LML - Laboratoire de Mathématiques de Lens

We complete the different cases remaining in the estimation of the essential norm of a weighted composition operator acting between the Hardy spaces $H^p$ and $H^q$ for $1<= p,q<=\infty.$ In particular, we give some estimates for the cases $1=p <= q <=\infty$ and $1<= q

Mots clés: Weighted composition operator; Essential norm; Carleson measure; Hardy space

Domaines: Analyse fonctionnelle [math.FA]

Romain Demazeux. Essential norms of weighted composition operators between Hardy spaces $H^p$ and $H^q$ for $1<= p,q<=infty$.. 2011. ⟨hal-00558617⟩