On Hardy spaces on worm domains
Copyright policy )On Hardy spaces on worm domains
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.
- University of Milan Italy
- University of Bergamo Italy
Hardy spaces; Szego projection; Worm domains, Hardy spaces, Worm domains, QA1-939, Szego projection, Mathematics, Hardy spaces; Szego projection; worm domains
Hardy spaces; Szego projection; Worm domains, Hardy spaces, Worm domains, QA1-939, Szego projection, Mathematics, Hardy spaces; Szego projection; worm domains
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