P-EXTREMAL FUNCTIONS AND BERNSTEIN-MARKOV PROPERTIES ASSOCIATED TO COMPACT SETS IN ℝ d

P-EXTREMAL FUNCTIONS AND BERNSTEIN-MARKOV PROPERTIES ASSOCIATED TO COMPACT SETS IN ℝ d

Given a compact subset P ⊂ (ℝ+)d and a compact set K in ℂd. We concern with the Bernstein-Markov properties of the triple (P, K, ) where is a finite positive Borel measure with compact support K. Our approach uses (global) P-extremal functions which is inspired by the classical case (when P = Σ the...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2022, Vol.59 (4), p.811-825
Hauptverfasser: Anh, Hoang Thieu, Chi, Kieu Phuong, Dieu, Nguyen Quang, Long, Tang Van
Format: Artikel
Sprache:kor
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Zusammenfassung:Given a compact subset P ⊂ (ℝ+)d and a compact set K in ℂd. We concern with the Bernstein-Markov properties of the triple (P, K, ) where is a finite positive Borel measure with compact support K. Our approach uses (global) P-extremal functions which is inspired by the classical case (when P = Σ the unit simplex) in [7].
ISSN:1015-8634