On the Spectrum of Composition Operators on Harmonic Bloch-Type Spaces

Mohammed Said  Al Ghafri; Yousef Estaremi; Ali Ebadian; Somaye Esmaeili

doi:10.37256/cm.7220268642

On the Spectrum of Composition Operators on Harmonic Bloch-Type Spaces

Authors

Mohammed Said Al Ghafri Department of Mathematics, University of Technology and Applied Sciences, Rustaq, Al-Rustaq 318, Sultanate of Oman
Yousef Estaremi Department of Mathematics and Computer Sciences, Golestan University, Gorgan, 79142-49361, Iran
Ali Ebadian Department of Mathematics, Urmia University, Urmia, 5756-151818, Iran https://orcid.org/0000-0003-4067-6729
Somaye Esmaeili Department of Mathematics, Payame Noor University, Tehran, 19395-4697, Iran

DOI:

https://doi.org/10.37256/cm.7220268642

Keywords:

harmonic function, composition operator, spectrum

Abstract

In this paper, we consider the composition operators on harmonic Bloch-type spaces. Then first we compute their spectra on harmonic α-Bloch spaces and harmonic little α-Bloch space and then we characterize isometric composition operators on harmonic α-Bloch-type spaces. Indeed we obtain a relation between the properties of the inducing function φ and the isometricity of the composition operator Cφ.

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Published

2026-03-31

How to Cite

Al Ghafri MS, Estaremi Y, Ebadian A, Esmaeili S. On the Spectrum of Composition Operators on Harmonic Bloch-Type Spaces. Contemp. Math. [Internet]. 2026 Mar. 31 [cited 2026 Jun. 4];7(2):2272-88. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/8642

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Issue

Contemporary Mathematics, Volume 7 Issue 2 (2026), 1369-2701

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.