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On Hardy spaces on worm domains

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Monguzzi A.

Concrete Operators

2016

tom 3

nr 1

29-42

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.

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1 Concrete Operators

1 Monguzzi A.

1 2016

Wyniki wyszukiwania

On Hardy spaces on worm domains