On Hardy spaces on worm domains

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Abstract: In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does not preserve Sobolev spaces of sufficiently high order and we highlight which difficulties arise in studying the same problem for the Szeg˝o projection. Finally, we announce and discuss the results we have obtained so far in the setting of non-smooth worm domains.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: On Hardy spaces on worm domains ; volume:3 ; number:1 ; year:2016 ; pages:29-42 ; extent:14
Concrete operators ; 3, Heft 1 (2016), 29-42 (gesamt 14)

Creator: Monguzzi, Alessandro

DOI: 10.1515/conop-2016-0005

URN: urn:nbn:de:101:1-2410301559015.033744911668

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:34 AM CEST

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On Hardy spaces on worm domains

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