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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Translated from Problemy Matematicheskogo Analiza 83, December 2015, pp. 83-91.
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Lyakhov, L.N., Lapshina, M.G. B-Potentials of Hölder Functions. J Math Sci 213, 551–560 (2016). https://doi.org/10.1007/s10958-016-2724-2
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DOI: https://doi.org/10.1007/s10958-016-2724-2