To the question of integration along fractal plane contours (Q1334423)
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scientific article; zbMATH DE number 641335
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | To the question of integration along fractal plane contours |
scientific article; zbMATH DE number 641335 |
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To the question of integration along fractal plane contours (English)
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5 October 1994
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Some well-defined analogues of the contour integral \(\int_ \Gamma f(z)dz\) over a fractal plane curve \(\Gamma\) of cell dimension \(D\) are constructed for \(f\) from some subspaces of Hölder's space \(H_ \nu(\Gamma)\) whenever \(\nu> D- 1+(2- D)q^{-1}\) or \(\nu= 1\) (here \(q= q(\Gamma)>1\)).
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fractal curve
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contour integral
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cell dimension
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