Integral Equations and Operator Theory

, Volume 75, Issue 4, pp 473–490 | Cite as

Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms

Article

Abstract

Let \({u \in \mathcal{H}(\mathbb{D})}\) and φ be an analytic self-map of \({\mathbb{D}}\). We estimate the essential norms of weighted composition operators uCφ acting on Zygmund type spaces in terms of u, φ, their derivatives and the n-th power φn of φ. Moreover, we give similar characterizations for boundedness of uCφ between Zygmund type spaces.

Mathematics Subject Classification (2010)

Primary 47B33 Secondary 47B38 

Keywords

Essential norms Weighted composition operators Zygmund type spaces 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Department of MathematicsKharazmi (Tarbiat Moallem) UniversityTehranIran
  2. 2.Department of Mathematical SciencesUniversity of OuluOuluFinland

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