Geodesic
A~universal criterion for quasi-analytic classes in Jordan domains
Sbornik. Mathematics, Tome 209 (2018) no. 12, pp. 1728-1744

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Carleman classes in Jordan domains in the complex plane are investigated. A criterion for regular Carleman classes to be quasi-analytic is established, which is universal in a certain sense for all weakly uniform domains. The proof is based on a solution of the Dirichlet problem with unbounded boundary function, and a result on bounds for the harmonic measure due to Beurling plays a substantial role. Bibliography: 20 titles.
Keywords: harmonic measure, Dirichlet problem.
Mots-clés : quasi-analytic classes in Jordan domains 
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     author = {R. A. Gaisin},
     title = {A~universal criterion for quasi-analytic classes in {Jordan} domains},
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     url = {http://geodesic.mathdoc.fr/item/SM_2018_209_12_a2/}
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R. A. Gaisin. A~universal criterion for quasi-analytic classes in Jordan domains. Sbornik. Mathematics, Tome 209 (2018) no. 12, pp. 1728-1744. http://geodesic.mathdoc.fr/item/SM_2018_209_12_a2/