The Essential Norm of a Bloch-to-Qp Composition Operator

Mikael Lindström, Shamil Makhmutov, Jari Taskinen

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The Qp spaces coincide with the Bloch space for p > 1 and are subspaces of BMOA for 0 <p ≤ 1. We obtain lower and upper estimates for the essential norm of a composition operator from the Bloch space into Qp, in particular from the Bloch space into BMOA.

Original languageEnglish
Pages (from-to)49-59
Number of pages11
JournalCanadian Mathematical Bulletin
Volume47
Issue number1
Publication statusPublished - Mar 2004

Fingerprint

Essential Norm
Bloch Space
Composition Operator
Qp Spaces
Subspace
Estimate

Keywords

  • Bloch space
  • BMOA
  • Compact operator
  • Composition operator
  • Essential norm
  • Little Bloch space
  • Q spaces
  • VMOA

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The Essential Norm of a Bloch-to-Qp Composition Operator. / Lindström, Mikael; Makhmutov, Shamil; Taskinen, Jari.

In: Canadian Mathematical Bulletin, Vol. 47, No. 1, 03.2004, p. 49-59.

Research output: Contribution to journalArticle

Lindström, Mikael ; Makhmutov, Shamil ; Taskinen, Jari. / The Essential Norm of a Bloch-to-Qp Composition Operator. In: Canadian Mathematical Bulletin. 2004 ; Vol. 47, No. 1. pp. 49-59.
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