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 Bergamo Italy
- University of Milan 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
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!