Muath Karaki

Muath Karaki
An-Najah National University · Department of Mathematics

PhD of Mathematics

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Publications

Publications (2)
Article
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We study the compactness of the composition operator on de Branges–Rovnyak spaces. Inspired by a paper by Lyubarskii–Malinnikova on model spaces, we give some necessary and some sufficient conditions for compactness. In the paper of Lyubarskii-Malinnikova, the key point is some Bernstein inequality on model spaces due to Cohn (and based on a deep i...
Article
We present a group structure on D via the automorphisms which fix the point 1. Through the induced group action, each point of ID produces an equivalence class that turns out to be a Blaschke sequence. We show that the corresponding Blaschke products are minimal/atomic solutions of the functional equation psi omicron psi = lambda psi, where lambda...

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