Hölder Spaces on Closed Curves
- Авторлар: Kats B.1, Skvortsova G.1
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Мекемелер:
- Kazan (Volga Region) Federal University
- Шығарылым: Том 39, № 9 (2018)
- Беттер: 1362-1366
- Бөлім: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203327
- DOI: https://doi.org/10.1134/S1995080218090391
- ID: 203327
Дәйексөз келтіру
Аннотация
Let Γ be a closed Jordan curve on the complex plane dividing it onto domains D+ and D−, ∞ ∈ D−. The Hölder space Hv (Γ) is the space of functions satisfying the Hölder condition with exponent ν on Γ, and \(H^+_\nu(\Gamma),\;H^{-}_\nu(\Gamma)\) are its subspaces consisting of functions analytically extendable into D+ and D− relatively. We study intersection and sum of these subspaces for nonsmooth and non-rectifiable curves.
Негізгі сөздер
Авторлар туралы
B. Kats
Kazan (Volga Region) Federal University
Хат алмасуға жауапты Автор.
Email: katsboris877@gmail.com
Ресей, ul. Kremlevskaya 18, Kazan, 420008
G. Skvortsova
Kazan (Volga Region) Federal University
Email: katsboris877@gmail.com
Ресей, ul. Kremlevskaya 18, Kazan, 420008