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2016 | 3 | 1 | 29-42
Tytuł artykułu

On Hardy spaces on worm domains

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
3
Numer
1
Strony
29-42
Opis fizyczny
Daty
otrzymano
2015-11-09
zaakceptowano
2016-01-27
online
2016-04-13
Twórcy
  • Dipartimento di Matematica, Università degli Studi di Milano, via C. Saldini 50, 20133, Milano, Italy
Bibliografia
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  • [42] Monguzzi, A. and Peloso, M. M, Sharp estimates for the Szeg˝o projection of Hardy spaces on the distinguished boundary of model worm domains. In preparation
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_conop-2016-0005
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