Email this article New criteria for uniform approximability by harmonic functions on compact sets in ℝ2
- Authors: Paramonov P.V.1,2
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Affiliations:
- Faculty of Mechanics and Mathematics
- Bauman Moscow State Technical University
- Issue: Vol 298, No 1 (2017)
- Pages: 201-211
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175019
- DOI: https://doi.org/10.1134/S0081543817060141
- ID: 175019
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Abstract
New uniform approximability criteria formulated in terms of logarithmic capacity are obtained for approximations by harmonic functions on compact sets in ℝ2. A relationship between these approximations and analogous approximations on compact sets in ℝ3 is established.
About the authors
P. V. Paramonov
Faculty of Mechanics and Mathematics; Bauman Moscow State Technical University
Author for correspondence.
Email: petr.paramonov@list.ru
Russian Federation, Moscow, 119991; Vtoraya Baumanskaya ul. 5/1, Moscow, 105005
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