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On the Cauchy Principal Value of the Khenkin-Ramirez Singular Integral in Strictly Pseudoconvex Domains of ℂ n

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Abstract

We show that in the multidimensional case (unlike the complex plane) the Cauchy principal value of the Khenkin-Ramirez singular integral in strictly pseudoconvex domains is equal to the limit value of this integral inside the domain.

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Authors and Affiliations

  1. Krasnoyarsk State University, Krasnoyarsk, Russia

    A. M. Kytmanov & S. G. Myslivets

Authors
  1. A. M. Kytmanov
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  2. S. G. Myslivets
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Original Russian Text Copyright © 2005 Kytmanov A. M. and Myslivets S. G.

The first author was supported by a grant of the President of the Russian Federation and the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-1212.2003.1); the second author was supported by the Krasnoyarsk Region Science Foundation (Grant 12F0063C).

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 3, pp. 625–633, May–June, 2005.

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Kytmanov, A.M., Myslivets, S.G. On the Cauchy Principal Value of the Khenkin-Ramirez Singular Integral in Strictly Pseudoconvex Domains of ℂ n . Sib Math J 46, 494–500 (2005). https://doi.org/10.1007/s11202-005-0051-9

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  • DOI: https://doi.org/10.1007/s11202-005-0051-9

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