Abstract
In a domain bounded by a closed rectifiable Jordan curve, we obtain estimates for the modulus of a Cauchy-type integral and its derivatives in terms of the contour moduli of smoothness of the integrand and a metric characteristic of the curve.
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References
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Additional information
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 6, pp. 732–743, June, 1999.
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Gerus, O.F. Estimates for the modulus of a Cauchy-type integral and its derivatives. Ukr Math J 51, 813–826 (1999). https://doi.org/10.1007/BF02591970
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DOI: https://doi.org/10.1007/BF02591970