Essential norms of weighted composition operators between Hardy spaces $H^p$ and $H^q$ for $1\leq p,q\leq \infty $
Volume 206 / 2011
Studia Mathematica 206 (2011), 191-209 MSC: Primary 47B33; Secondary 30H10, 46E15. DOI: 10.4064/sm206-3-1
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\leq p,q\leq \infty $. In particular we give some estimates for the cases $1=p\leq q\leq \infty $ and $1\leq q< p\leq \infty $.