Journal of Integral Equations and Applications

Essential norm of generalized weighted composition operators from $H^\infty $ to the logarithmic Bloch space

Yanhua Zhang

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Abstract

In this paper, we give some estimates of the essential norm for generalized weighted composition operators from $H^\infty $ to the logarithmic Bloch space. Moreover, we give a new characterization for the boundedness, compactness and essential norm of the generalized weighted composition operator from $H^\infty $ to the logarithmic Bloch space.

Article information

Source
J. Integral Equations Applications, Volume 31, Number 1 (2019), 131-147.

Dates
First available in Project Euclid: 27 June 2019

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1561601029

Digital Object Identifier
doi:10.1216/JIE-2019-31-1-131

Mathematical Reviews number (MathSciNet)
MR3974986

Zentralblatt MATH identifier
07080018

Subjects
Primary: 30H30: Bloch spaces 47B38: Operators on function spaces (general)

Keywords
Logarithmic Bloch space essential norm generalized weighted composition operator

Citation

Zhang, Yanhua. Essential norm of generalized weighted composition operators from $H^\infty $ to the logarithmic Bloch space. J. Integral Equations Applications 31 (2019), no. 1, 131--147. doi:10.1216/JIE-2019-31-1-131. https://projecteuclid.org/euclid.jiea/1561601029


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