On norms of composition operators on weighted hardy spaces

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 1

Abstract

 The computation of composition operator on Hardy spaces is very hard. In this paper we propose  a  norm of a bounded composition operator on weighted Hardy spaces H2(b) induced by a disc  automorphism by embedding  the classical Hardy space . The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence b. As an application of our results, an estimate for the norm of any bounded composition operator on H2(b) is obtained.

Authors and Affiliations

Amenah Essa Shammaky, Sumitra Dalal

Keywords

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  • EP ID EP651783
  • DOI 10.24297/jam.v14i1.6717
  • Views 154
  • Downloads 0

How To Cite

Amenah Essa Shammaky, Sumitra Dalal (2018). On norms of composition operators on weighted hardy spaces. JOURNAL OF ADVANCES IN MATHEMATICS, 14(1), 7424-7430. https://europub.co.uk/articles/-A-651783