Summation of p-Faber series by the Abel–poisson method in the integral metric

• Datum: 2010
• Hauptverfasser: Savchuk, V. V., Savchuk, M. V., Савчук, В. В., Савчук, М. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2896
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions on the boundary \( \Gamma \) of a bounded simply connected domain \( \Omega \subset \mathbb{C} \) under which the p-Faber series of an arbitrary function from the Smirnov space \( {E_p}\left( \Omega \right),1 \leqslant p < \infty \), can be summed by the Abel–Poisson m...