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Mathematics > Functional Analysis

arXiv:1812.08979 (math)
[Submitted on 21 Dec 2018 (v1), last revised 25 Dec 2018 (this version, v2)]

Title:Composition operators on the spaces of Harmonic Bloch functions

Authors:Y. Estaremi, S. Esmaili, A. Ebadian
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Abstract:In this paper we characterize some basic properties of composition operators on the spaces of harmonic Bloch functions. First we provide some equivalent conditions for boundedness and compactness of composition operators. Then by using these conditions we estimate the essential norm of composition operators. These results extends the similar results that were proven in the literature on the Bloch spaces.
Comments: 12 pages
Subjects: Functional Analysis (math.FA)
Cite as: arXiv:1812.08979 [math.FA]
  (or arXiv:1812.08979v2 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.1812.08979

Submission history

From: Yousef Estaremi [view email]
[v1] Fri, 21 Dec 2018 07:32:32 UTC (15 KB)
[v2] Tue, 25 Dec 2018 17:14:10 UTC (8 KB)
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