B-Potentials of Hölder Functions


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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.

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L. Lyakhov

Voronezh State University

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Email: levnlya@mail.ru
俄罗斯联邦, 1, Universitetskaya pl., Voronezh, 394006

M. Lapshina

Lipetsk State Pedagogical University

Email: levnlya@mail.ru
俄罗斯联邦, 42, Lenina St., Lipetsk, 398020

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