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Essential Norm of Weighted Composition Operators From \(H^\infty \) to nth Weighted Type Spaces

  • Ebrahim AbbasiEmail author
  • Hamid Vaezi
  • Songxiao Li
Article
  • 61 Downloads

Abstract

In this work, the boundedness of the weighted composition operator \(uC_\varphi \) from \(H^\infty \) to nth weighted type spaces was characterized. Also some estimates for the essential norm of this operator were given. By applying these estimates for the essential norm, some necessary and sufficient conditions for the compactness of this operator were obtained.

Keywords

Essential norm nth weighted type space weighted composition operator 

Mathematics Subject Classification

47B33 30H05 30H99 

Notes

Acknowledgements

The authors would like to express their sincere gratitude to the referee for a very careful reading of the paper and for all the valuable suggestions, which led to improvement in this paper.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsMahabad Branch, Islamic Azad UniversityMahabadIran
  2. 2.Department of Pure Mathematics Faculty of Mathematical SciencesUniversity of TabrizTabrizIran
  3. 3.Institute of Fundamental and Frontier SciencesUniversity of Electronic Science and Technology of ChinaChengduPeople’s Republic of China

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