New criteria for uniform approximability by harmonic functions on compact sets in ℝ2
- Autores: Paramonov P.V.1,2
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Afiliações:
- Faculty of Mechanics and Mathematics
- Bauman Moscow State Technical University
- Edição: Volume 298, Nº 1 (2017)
- Páginas: 201-211
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175019
- DOI: https://doi.org/10.1134/S0081543817060141
- ID: 175019
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Resumo
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.
Sobre autores
P. Paramonov
Faculty of Mechanics and Mathematics; Bauman Moscow State Technical University
Autor responsável pela correspondência
Email: petr.paramonov@list.ru
Rússia, Moscow, 119991; Vtoraya Baumanskaya ul. 5/1, Moscow, 105005
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