Geodesic
New metric characteristics of non-rectifiable curves with applications
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 4, pp. 31-38

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In this paper, the author summarizes the concept of Marcinkiewicz exponents, introduced earlier. These exponents are in fact new metric characteristics for non-rectifiable flat curves. The generalization that is presented here is used to solve boundary-value problems for holomorphic functions in domains whose boundaries are non-rectifiable.
Keywords: metric characteristics, fractals, Marcinkiewicz exponents.
Mots-clés : non-rectifiable curves 
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     author = {D. B. Kats},
     title = {New metric characteristics of non-rectifiable curves with applications},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {31--38},
     publisher = {mathdoc},
     volume = {156},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2014_156_4_a3/}
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D. B. Kats. New metric characteristics of non-rectifiable curves with applications. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 4, pp. 31-38. http://geodesic.mathdoc.fr/item/UZKU_2014_156_4_a3/