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Markov inequality on sets with polynomial parametrization

100%

Baran M.

Annales Polonici Mathematici

1994-1995

tom 60

nr 1

69-79

The main result of this paper is the following: if a compact subset E of $ℝ^n$ is UPC in the direction of a vector $v ∈ S^{n-1}$ then E has the Markov property in the direction of v. We present a method which permits us to generalize as well as to improve an earlier result of Pawłucki and Pleśniak [PP1].

Alexander's projective capacity for polydisks and ellipsoids in $ℂ^N$

80%

Jędrzejowski M.

Annales Polonici Mathematici

1995

tom 62

nr 3

245-264

Alexander's projective capacity for the polydisk and the ellipsoid in $ℂ^N$ is computed. Sharper versions of two inequalities concerning this capacity and some other capacities in $ℂ^N$ are given. A sequence of orthogonal polynomials with respect to an appropriately defined measure supported on a compact subset K in $ℂ^N$ is proved to have an asymptotic behaviour in $ℂ^N$ similar to that of the Siciak homogeneous extremal function associated with K.

Ograniczanie wyników

2 Annales Polonici Mathematici

1 Baran M.

1 Jędrzejowski M.

1 1995

1 1994

Wyniki wyszukiwania

Markov inequality on sets with polynomial parametrization

Alexander's projective capacity for polydisks and ellipsoids in $ℂ^N$