Removal of singularities and analogs of the Sokhotskii–Weierstrass theorem for Q-mappings

• Date: 2009
• Main Authors: Sevost'yanov, E. A., Севостьянов, Е. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3007
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that an open discrete Q-mapping \( f:D \to \overline {{\mathbb{R}^n}} \) has a continuous extension to an isolated boundary point if the function Q(x) has finite mean oscillation or logarithmic singularities of order at most n – 1 at this point. Moreover, the extended mapping is open and di...