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The Essential Norm of a Bloch-to-$Q_p$ Composition Operator

Open Access article
  Published:2004-03-01
 Printed: Mar 2004
Canadian Mathematical Bulletin
  • Mikael Lindström
  • Shamil Makhmutov
  • Jari Taskinen
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Abstract

The $Q_p$ spaces coincide with the Bloch space for $p>1$ and are subspaces of $\BMOA$ for $0
Keywords: Bloch space, little Bloch space, $\BMOA$, $\VMOA$, $Q_p$ spaces, composition operator, compact operator, essential norm Bloch space, little Bloch space, $\BMOA$, $\VMOA$, $Q_p$ spaces, composition operator, compact operator, essential norm
MSC Classifications: 47B38, 47B10, 46E40, 46E15 show english descriptions Operators on function spaces (general)
Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20]
Spaces of vector- and operator-valued functions
Banach spaces of continuous, differentiable or analytic functions 47B38 - Operators on function spaces (general)
47B10 - Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20]
46E40 - Spaces of vector- and operator-valued functions
46E15 - Banach spaces of continuous, differentiable or analytic functions
 
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