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Topological Structure of the Space of Composition Operators Between Different Fock Spaces

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Abstract

In this paper the topological structure problem for the space of composition operators acting from a Fock space \({{\mathcal {F}}}^p({{\mathbb {C}}}^n)\) to another one \({{\mathcal {F}}}^q({{\mathbb {C}}}^n)\) with \(0 < p, q \le \infty \) is completely solved. Explicit descriptions of all (path) components and isolated points in this space are obtained.

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Correspondence to Pham Trong Tien.

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Communicated by H. Turgay Kaptanoglu.

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Khoi, L.H., Thom, L.T.H. & Tien, P.T. Topological Structure of the Space of Composition Operators Between Different Fock Spaces. Complex Anal. Oper. Theory 15, 123 (2021). https://doi.org/10.1007/s11785-021-01175-7

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