Email this article B-Potentials of Hölder Functions
- Authors: Lyakhov L.N.1, Lapshina M.G.2
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Affiliations:
- Voronezh State University
- Lipetsk State Pedagogical University
- Issue: Vol 213, No 4 (2016)
- Pages: 551-560
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237207
- DOI: https://doi.org/10.1007/s10958-016-2724-2
- ID: 237207
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Abstract
We study B-potentials of Hölder continuous functions. We obtain formulas for the first– and second order derivatives, as well as for the B-derivative of a B-potential with Hölder density. We also obtain the inversion formula.
About the authors
L. N. Lyakhov
Voronezh State University
Author for correspondence.
Email: levnlya@mail.ru
Russian Federation, 1, Universitetskaya pl., Voronezh, 394006
M. G. Lapshina
Lipetsk State Pedagogical University
Email: levnlya@mail.ru
Russian Federation, 42, Lenina St., Lipetsk, 398020
