Complex analysis/Functional analysis
Analytic balayage of measures, Carathéodory domains, and badly approximable functions in Lp
Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 870-874.

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).

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).

Published online:
DOI: 10.1016/j.crma.2018.05.018
Abakumov, Evgeny 1; Fedorovskiy, Konstantin 2, 3

1 Université Paris-Est, Marne-la-Vallée, France
2 Bauman Moscow State Technical University, Russia
3 Saint Petersburg State University, Russia
     author = {Abakumov, Evgeny and Fedorovskiy, Konstantin},
     title = {Analytic balayage of measures, {Carath\'eodory} domains, and badly approximable functions in {\protect\emph{L}\protect\textsuperscript{\protect\emph{p}}}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {870--874},
     publisher = {Elsevier},
     volume = {356},
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     year = {2018},
     doi = {10.1016/j.crma.2018.05.018},
     language = {en},
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Abakumov, Evgeny; Fedorovskiy, Konstantin. 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.

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