Markov's property of the Cantor ternary set
Białas, Leokadia ; Volberg, Alexander
Studia Mathematica, Tome 104 (1993), p. 259-268 / Harvested from The Polish Digital Mathematics Library
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We prove that the Cantor ternary set E satisfies the classical Markov inequality (see [Ma]): for each polynomial p of degree at most n (n = 0, 1, 2,...) (M) |p'(x)|≤MnmsupE|p| for x ∈ E, where M and m are positive constants depending only on E.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:215974 
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     author = {Leokadia Bia\l as and Alexander Volberg},
     title = {Markov's property of the Cantor ternary set},
     journal = {Studia Mathematica},
     volume = {104},
     year = {1993},
     pages = {259-268},
     zbl = {0814.41014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv104i3p259bwm}
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Białas, Leokadia; Volberg, Alexander. Markov's property of the Cantor ternary set. Studia Mathematica, Tome 104 (1993) pp. 259-268. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv104i3p259bwm/

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