B -Potentials of Hölder Functions

L. N. Lyakhov; M. G. Lapshina

doi:10.1007/s10958-016-2724-2

B-Potentials of Hölder Functions

Authors: Lyakhov L.N.¹, Lapshina M.G.²
Affiliations:
1. Voronezh State University
2. 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.

Keywords

Euclidean Space, Bounded Domain, Fundamental Solution, Order Derivative, Weighted Variable

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

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