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New solvability criterion for jump problem

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Abstract

We study the problem to find a function holomorphic on a compact Riemann surface that is given by its jump on a non-rectifiable curve. We improve the known solvability criteria for this problem in terms of new metric characteristics of non-rectifiable curves.

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Authors and Affiliations

  1. Kazan Federal University, Kremlevskaya Street 18, Kazan, Russian Federation

    Boris A. Kats & David B. Katz

Authors
  1. Boris A. Kats
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  2. David B. Katz
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Corresponding author

Correspondence to Boris A. Kats.

Additional information

To Sergei Grudsky on the occasion of his 60-th birthday.

The research is partially supported by Russian Foundation for Fundamental Researches, Grant 13-01-00322-a.

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Kats, B.A., Katz, D.B. New solvability criterion for jump problem. Bol. Soc. Mat. Mex. 22, 361–366 (2016). https://doi.org/10.1007/s40590-016-0100-3

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  • DOI: https://doi.org/10.1007/s40590-016-0100-3

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