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Doubly periodic Riemann boundary value problem for non-rectifiable curves

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Abstract

The known results on the doubly periodic Riemann boundary value problem concern the case of piecewise-smooth contours. In the present paper we study it for non-rectifiable curves in terms of so called Marcinkiewicz exponents.

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Authors and Affiliations

  1. Kazan State Power Engineering University, Krasnoselskaya ul. 51, Kazan, Tatarstan, 420066, Russia

    F. N. Garifyanov

  2. Kazan (Volga Region) Federal University, Kremlevskaya ul. 35, Kazan, Tatarstan, 420008, Russia

    B. A. Kats

  3. N. I. Lobachevskii Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya ul. 35, Kazan, Tatarstan, 420008, Russia

    D. B. Katz

Authors
  1. F. N. Garifyanov
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  2. B. A. Kats
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  3. D. B. Katz
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Corresponding author

Correspondence to F. N. Garifyanov.

Additional information

Submitted by A. M. Elizarov

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Garifyanov, F.N., Kats, B.A. & Katz, D.B. Doubly periodic Riemann boundary value problem for non-rectifiable curves. Lobachevskii J Math 36, 120–126 (2015). https://doi.org/10.1134/S1995080215020079

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  • DOI: https://doi.org/10.1134/S1995080215020079

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