The cauchy integral along $\Phi$-rectifiable curves
Lobachevskii journal of mathematics, Tome 7 (2000), pp. 15-29
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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.
@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/}
}
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/