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On Boundary Behavior of the Cauchy Type Integrals with Values in a Universal Clifford Algebra

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Abstract

In this paper, we discuss boundary behavior for the Cauchy type integrals with values in a universal Clifford algebra for certain distinguished boundary and obtain some Sochocki–Plemelj formulae and Privalov–Muskhelishvili theorems.

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Authors and Affiliations

  1. Department of Mathematics, Wuhan University, Wuhan, 430072, P. R. China

    Jinyuan Du & Na Xu

Authors
  1. Jinyuan Du
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  2. Na Xu
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Correspondence to Jinyuan Du.

Additional information

This work is supported by NNSF of China (#10871150) and RFDP of Higher Eduction of China (#20060486001).

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Du, J., Xu, N. On Boundary Behavior of the Cauchy Type Integrals with Values in a Universal Clifford Algebra. Adv. Appl. Clifford Algebras 21, 49–87 (2011). https://doi.org/10.1007/s00006-010-0237-5

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  • DOI: https://doi.org/10.1007/s00006-010-0237-5

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