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- W2952950679 abstract "We prove that the norm of a weighted composition operator on the Hardy space H^2 of the disk is controlled by the norm of the weight function in the de Branges-Rovnyak space associated to the symbol of the composition operator. As a corollary we obtain a new proof of the boundedness of composition operators on H^2, and recover the standard upper bound for the norm. Similar arguments apply to weighted Bergman spaces. We also show that the positivity of a generalized de Branges-Rovnyak kernel is sufficient for the boundedness of a given composition operator on the standard functions spaces on the unit ball." @default.
- W2952950679 created "2019-06-27" @default.
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- W2952950679 date "2007-07-23" @default.
- W2952950679 modified "2023-09-27" @default.
- W2952950679 title "Reproducing kernels, de Branges-Rovnyak spaces, and norms of weighted composition operators" @default.
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