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2016 Essential norm of a Volterra-type integral operator from Hardy spaces to some analytic function spaces
Jizhen Zhou, Xiangling Zhu
J. Integral Equations Applications 28(4): 581-593 (2016). DOI: 10.1216/JIE-2016-28-4-581

Abstract

In this paper, we obtain some estimates of essential norm of the Volterra-type integral operator $T_g$, where \[ T_gf(z)=\int ^z_0f(\zeta )g'(\zeta )\,d\zeta , \] from Hardy spaces to the BMOA space, Besov spaces, Berg\-man spaces and Bloch-type spaces.

Citation

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Jizhen Zhou. Xiangling Zhu. "Essential norm of a Volterra-type integral operator from Hardy spaces to some analytic function spaces." J. Integral Equations Applications 28 (4) 581 - 593, 2016. https://doi.org/10.1216/JIE-2016-28-4-581

Information

Published: 2016
First available in Project Euclid: 15 December 2016

zbMATH: 1354.30048
MathSciNet: MR3582802
Digital Object Identifier: 10.1216/JIE-2016-28-4-581

Subjects:
Primary: 30H10 , 47B38

Keywords: BMOA space , Hardy space , Volterra-type integral operator

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

Vol.28 • No. 4 • 2016
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