On Hardy spaces on worm domains-Reference-Cited by-同舟云学术

On Hardy spaces on worm domains

Published:2016-01-13 Issue:1 Volume:3 Page:
ISSN:2299-3282
Container-title:Concrete Operators
language:
Short-container-title:

Author:

Monguzzi Alessandro

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/conop-2016-0005/pdf

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