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@article{AA_2016_28_1_a5, author = {B. M. Makarov and A. N. Podkorytov}, title = {On the coordinate functions of {Peano} curves}, journal = {Algebra i analiz}, pages = {158--172}, publisher = {mathdoc}, volume = {28}, number = {1}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AA_2016_28_1_a5/} }
B. M. Makarov; A. N. Podkorytov. On the coordinate functions of Peano curves. Algebra i analiz, Tome 28 (2016) no. 1, pp. 158-172. http://geodesic.mathdoc.fr/item/AA_2016_28_1_a5/
[1] Peano G., “Sur une courbe, qui remplit toute une aire plane”, Math. Ann., 36:1 (1890), 157–160 | DOI | MR
[2] Luzin N. N., Teoriya funktsii deistvitelnogo peremennogo, Uchpedgiz, M., 1940
[3] Sagan H., Space-filling curves, Universitext, Springer-Verlag, New York, 1994 | DOI | MR | Zbl
[4] Besicovitch A. S., Ursell H. D., “Sets of fractional dimensions (V): On dimensional numbers of some continuous curves”, J. London Math. Soc., 12 (1937), 18–25 | Zbl
[5] Kline S. A., “On curves of fractional dimension”, J. London Math. Soc., 20 (1945), 79–86 | DOI | MR | Zbl
[6] Falconer K. J., The geometry of fractal sets, Cambridge Tracts Math., 85, Cambridge Univ. Press, Cambridge, 1985 | MR | Zbl
[7] Steinhaus H., “La courbe de Peano et les fonctions indépendantes”, C. R. Acad. Sci. Paris, 202 (1936), 1961–1963 | Zbl
[8] Garsia A. M., “Combinatorial inequalities and smoothness of functions”, Bull. Amer. Math. Soc., 82:2 (1976), 157–170 | DOI | MR | Zbl
[9] Love E. R., Young L. C., “Sur une classe de fonctionnelles linéaires”, Fund. Math., 28 (1937), 243–257 | Zbl
[10] Holbrook J. R., “Stochastic independence and space-filling curves”, Amer. Math. Monthly, 88:6 (1981), 426–432 | DOI | MR | Zbl
[11] Makarov B. M., Podkorytov A. N., Lektsii po veschestvennomu analizu, Izd-vo BKhV, SPb, 2011