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Linear conjugation problem for analytic functions in the weighted Hölder spaces

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Abstract

We consider the classical linear conjugation problem for analytic functions on piecewise-smooth curve in the whole scale of weighted Hölder spaces and describe its solvability in dependence on a weight order.

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References

  1. Muskhelishvili, N. I., Singular Integral Equations (Nauka, Moscow, 1968) [in Russian].

    MATH  Google Scholar 

  2. Gakhov, F. D., Boundary-Value Problems (Fizmatgiz, Moscow, 1963) [in Russian].

    Google Scholar 

  3. Soldatov, A. P., One-Dimensional Singular Operators and Boundary-Value Problems of Function Theory (Vysshaya Shkola, Moscow, 1991) [in Russian].

    Google Scholar 

  4. Soldatov, A. P., “A Generalized Integral of the Cauchy Type,” Soobshch. Akad. Nauk Gruz. 144, No. 3, 349–351 (1991).

    MathSciNet  MATH  Google Scholar 

  5. Soldatov, A. P., “A Boundary-Value Problem of Linear Conjugation of Function Theory,” Izv. Akad. Nauk SSSR. Ser. Mat. 43, No. 1, 184–202 (1979).

    MathSciNet  MATH  Google Scholar 

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Correspondence to A. P. Soldatov.

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Original Russian Text © G.N. Aver’yanov, A.P. Soldatov, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 9, pp. 56–61.

Submitted by A.M. Denisov

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Aver’yanov, G.N., Soldatov, A.P. Linear conjugation problem for analytic functions in the weighted Hölder spaces. Russ Math. 59, 47–50 (2015). https://doi.org/10.3103/S1066369X15090066

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  • DOI: https://doi.org/10.3103/S1066369X15090066

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