On Hardy spaces on worm domains
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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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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)
- Urheber
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Monguzzi, Alessandro
- DOI
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10.1515/conop-2016-0005
- URN
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urn:nbn:de:101:1-2410301559015.033744911668
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:34 MESZ
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Beteiligte
- Monguzzi, Alessandro
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