On Hardy spaces on worm domains

Alessandro Monguzzi

Concrete Operators, Tome 3 (2016), p. 29-42 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 2016-01-01

Zbl 1338.32002

EUDML-ID : urn:eudml:doc:277102

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