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- W2801228232 abstract "Abstract For a given parameterization of a Jordan curve, we define the notion of summability or classes of measurable functions on a contour where a new integral is introduced. It is shown that natural functional spaces defining summability for non-rectifiable Jordan curves are the Lebesgue spaces with the weighted norm. For non-rectifiable Jordan curves where an integral was previously defined for continuous (Hölder) functions [Y. Guseynov, Integrable boundaries and fractals for Hölder classes; the Gauss–Green theorem, Calc. Var. Partial Differential Equations 55 2016, 4, Article ID 103], a weight function is constructed which, in general, is not summable by parameter, and a weighted functional space (summability) is defined where the new integral exists." @default.
- W2801228232 created "2018-05-17" @default.
- W2801228232 creator A5012344400 @default.
- W2801228232 date "2018-04-20" @default.
- W2801228232 modified "2023-09-25" @default.
- W2801228232 title "Summability on non-rectifiable Jordan curves" @default.
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- W2801228232 doi "https://doi.org/10.1515/gmj-2018-0031" @default.
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