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Composition Operators on the Space of Bounded Harmonic Functions

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Abstract.

We study composition operators on the space of bounded harmonic functions on the open unit disk. The principal goal of this paper is to provide criteria for determining the essential norm of difference of two composition operators.

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Correspondence to Shûichi Ohno.

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The first author is partially supported by KRF-2002-070-C00004.

The second author is partially supported by Grant-in-Aid for Scientific Research (No.16340037), Japan Society for the Promotion of Science.

The third author is partially supported by Grant-in-Aid for Scientific Research (No.17540169), Japan Society for the Promotion of Science.

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Choa, J.S., Izuchi, K.J. & Ohno, S. Composition Operators on the Space of Bounded Harmonic Functions. Integr. equ. oper. theory 61, 167–186 (2008). https://doi.org/10.1007/s00020-008-1579-4

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  • DOI: https://doi.org/10.1007/s00020-008-1579-4

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