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arXiv · 2506.16152

Weighted superposition operators on Fock spaces

Tesfa Mengestie
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Abstract

We characterize all pairs of entire functions $(u,\psi)$ for which the induced weighted superposition operator $S_{(u,\psi)}$ transforms one Fock space into another Fock space.Further analytical structures like boundedness and Lipschitz continuity of $S_{(u,\psi)}$ are described. We, in particular, show the Fock spaces support no compact weighted superposition operator.

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Tesfa Mengestie. 2025-06-19. Weighted superposition operators on Fock spaces. https://doi.org/10.1007/s13398-022-01216-6

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