arXiv subjects

Romain Demazeux

Publications and source records attributed to Romain Demazeux.

2 recordsLinked to original sources

arXiv2011

Essential norms of weighted composition operators between Hardy spaces $H^p$ and $H^q$ for $1\leq p,q \leq \infty$

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 $1\leq q<p\leq\infty.$

math.FA↗

arXiv2009

Weighted composition operators as Daugavet centers

We investigate the norm identity $\|uC_ϕ+ T\| = \|u\|_\infty + \|T\|$ for classes of operators on $C(S)$, where $S$ is a compact Hausdorff space without isolated point, and characterize those weighted composition operators which satisfy this equation for every weakly compact operator $T : C(S)\to C(S)$. We also give a characterization of such weighted composition operator acting on the disk algebra $A(D).$

math.FA↗