Geodesic
The cauchy integral along $\Phi$-rectifiable curves
Lobachevskii journal of mathematics, Tome 7 (2000), pp. 15-29 
B. A. Kats. The cauchy integral along $\Phi$-rectifiable curves. Lobachevskii journal of mathematics, Tome 7 (2000), pp. 15-29. http://geodesic.mathdoc.fr/item/LJM_2000_7_a1/
@article{LJM_2000_7_a1,
     author = {B. A. Kats},
     title = {The cauchy integral along $\Phi$-rectifiable curves},
     journal = {Lobachevskii journal of mathematics},
     pages = {15--29},
     year = {2000},
     volume = {7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2000_7_a1/}
}
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UR  - http://geodesic.mathdoc.fr/item/LJM_2000_7_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper treats existence and boundary properties of the Cauchy integral over certain classes of non-rectifiable curves. These classes contain, in particular, known fractal curves: von Koch snowflakes, Weierstrass curves, lacunary wavelet trajectories and so on.