Weighted superposition operators on Fock spaces
Peer reviewed, Journal article
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Date
2022Metadata
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Mengestie, T. (2022). Weighted superposition operators on Fock spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116(2). 10.1007/s13398-022-01216-6Abstract
We characterize all pairs of entire functions (u,ψ) for which the induced weighted superposition operator S(u,ψ) transforms one Fock space into another Fock space. Further analytical structures like boundedness and Lipschitz continuity of S(u,ψ) are described.We, in particular, show the Fock spaces support no compact weighted superposition operator