A+ CATEGORY SCIENTIFIC UNIT

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

Volume 206 / 2011

R. Demazeux Studia Mathematica 206 (2011), 191-209 MSC: Primary 47B33; Secondary 30H10, 46E15. DOI: 10.4064/sm206-3-1

Abstract

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 $.

Authors

  • R. DemazeuxUniv Lille Nord de France, France
    UArtois, Laboratoire de Mathématiques de Lens EA 2462
    Fédération CNRS Nord-Pas-de-Calais FR 2956
    F-62 300 Lens, France
    e-mail

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