Geodesic
V.~A.~Markov's theorems in normed spaces
Izvestiya. Mathematics , Tome 72 (2008) no. 2, pp. 383-412

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain multidimensional analogues of V. A. Markov's inequalities for algebraic polynomials on centrally symmetric convex bodies and an analogue of the Schaeffer–Duffin inequality for polynomials on multidimensional cubes. We establish necessary and sufficient conditions for these inequalities to become equalities, and describe the sets of extremals. 
@article{IM2_2008_72_2_a7,
     author = {V. I. Skalyga},
     title = {V.~A.~Markov's theorems in normed spaces},
     journal = {Izvestiya. Mathematics },
     pages = {383--412},
     publisher = {mathdoc},
     volume = {72},
     number = {2},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2008_72_2_a7/}
}
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V. I. Skalyga. V.~A.~Markov's theorems in normed spaces. Izvestiya. Mathematics , Tome 72 (2008) no. 2, pp. 383-412. http://geodesic.mathdoc.fr/item/IM2_2008_72_2_a7/