Comptes Rendus
no. 8
Complex analysis/Functional analysis
Analytic balayage of measures, Carathéodory domains, and badly approximable functions in Lp
[Balayage analytique de mesures, de domaines de Carathéodory et de fonctions mal approximables dans Lp]

Présenté par : Gilles Pisier

Evgeny Abakumov1 ; Konstantin Fedorovskiy2, 3
1 Université Paris-Est, Marne-la-Vallée, France
2 Bauman Moscow State Technical University, Russia
3 Saint Petersburg State University, Russia
Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 870-874.

Nous donnons de nouvelles formules pour le balayage analytique des mesures supportées sur des sous-ensembles d'ensembles compacts de Carathéodory dans le plan complexe et considérons le problème connexe de la description des fonctions mal approximables dans Lp(T).

We give new formulae for analytic balayage of measures supported on subsets of Carathéodory compact sets in the complex plane, and consider a related problem of description of badly approximable functions in Lp(T).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.05.018
Evgeny Abakumov 1 ; Konstantin Fedorovskiy 2, 3

1 Université Paris-Est, Marne-la-Vallée, France
2 Bauman Moscow State Technical University, Russia
3 Saint Petersburg State University, Russia 
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     journal = {Comptes Rendus. Math\'ematique},
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Evgeny Abakumov; Konstantin Fedorovskiy. Analytic balayage of measures, Carathéodory domains, and badly approximable functions in Lp. Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 870-874. doi : 10.1016/j.crma.2018.05.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.05.018/

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