Unbounded Hankel operators and the flow of the cubic Szego equation

成果类型:
Article
署名作者:
Gerard, Patrick; Pushnitski, Alexander
署名单位:
Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); University of London; King's College London
刊物名称:
INVENTIONES MATHEMATICAE
ISSN/ISSBN:
0020-9910
DOI:
10.1007/s00222-022-01176-z
发表日期:
2023
页码:
995-1026
关键词:
摘要:
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 & oacute; equation on the unit circle can be continuously extended to the whole class H-2.
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