Unbounded Hankel operators and the flow of the cubic Szegő equation

Patrick Gerard; Alexander Pushnitski

doi:10.1007/s00222-022-01176-z

Unbounded Hankel operators and the flow of the cubic Szegő equation

Patrick Gerard, Alexander Pushnitski

Univ Paris 11, Lab Math Orsay

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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Abstract

We prove that, for any Hankel operator with a symbol from the Hardy class H², the maximal and minimal domains coincide. As an application, we prove that the evolution flow of the cubic Szegő equation on the unit circle can be continuously extended to the whole class H².

Original language	English
Journal	INVENTIONES MATHEMATICAE
DOIs	https://doi.org/10.1007/s00222-022-01176-z
Publication status	Published - 21 Dec 2022

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title = "Unbounded Hankel operators and the flow of the cubic Szeg{\H o} equation",

abstract = "We prove that, for any Hankel operator with a symbol from the Hardy class H2, 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 H2.",

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Unbounded Hankel operators and the flow of the cubic Szegő equation

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