اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدOne sided extendability and p-continuous analytic capacities
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Using complex methods combined with Baires Theorem we show that one-sided extendability, extendability and real analyticity are rare phenomena on various spaces of functions in the topological sense. These considerations led us to introduce the p-continuous analytic capacity and variants of it, $p in { 0, 1, 2, cdots } cup { infty }$, for compact or closed sets in $mathbb{C}$. We use these capacities in order to characterize the removability of singularities of functions in the spaces $A^p$.
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P.G. Grinevich L.D. Landau Institute forn Theoretical Physics
, Lomonosov Moscow State University
2015
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