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arXiv · 2206.11543

Unbounded Hankel operators and the flow of the cubic Szeg\H{o} equation

Patrick Gérard·Alexander Pushnitski
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Abstract

We prove that, for any Hankel operator with a symbol from the Hardy class $H^2$, the maximal and minimal domains coincide. As an application, we prove that the evolution flow of the cubic Szeg\H{o} equation on the unit circle can be continuously extended to the whole class $H^2$.

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Patrick Gérard, Alexander Pushnitski. 2022-06-23. Unbounded Hankel operators and the flow of the cubic Szeg\H{o} equation. https://doi.org/10.1007/s00222-022-01176-z

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