On the mean convergence of the Taylor and Laurent series

• Date: 2013
• Author Affiliations: Р. В. Товкач — Східноєвропейський національний університет імені Лесі Українки
• Keywords: keywords
• Main Authors: Tovkach, R. V., Товкач, Р. В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/186
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

For analytic functions in the domain ${\Delta=D\bigcup D_\infty}$ we find conditions expressed in terms of Laurent coefficients, necessary for convergence in the average of its Laurent series. For functions analytic in a circle ~ $D$, necessary and sufficient conditions of convergence in the mean Ta...