Abstract
We introduce a new metric characteristic of dimensional type for non-rectifiable curves in the complex plane and use it to solve the so-called jump problem, i.e. the boundary value problem for determination of a holo-morphic function with a given jump on a given curve.
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The author was supported in part by RFBR Grant #06-01-81019-Bel-a.
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Kats, B.A. The Refined Metric Dimension with Applications. Comput. Methods Funct. Theory 7, 77–89 (2007). https://doi.org/10.1007/BF03321632
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DOI: https://doi.org/10.1007/BF03321632