We establish an upper bound for the modulus of continuity of a quaternion singular Cauchy integral in terms of the modulus of continuity of the integrand and a metric characteristic of a curve.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 10, pp. 1428–1435, October, 2010.
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Herus, O.F. An estimate for the modulus of continuity of a quaternion singular Cauchy integral. Ukr Math J 62, 1657–1665 (2011). https://doi.org/10.1007/s11253-011-0457-4
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DOI: https://doi.org/10.1007/s11253-011-0457-4