$P$-extremal functions and Bernstein-Markov properties associated to compact sets in $\mathbb R^d$
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Given a compact subset $P \subset (\R^+)^d$ and a compact set $K$ in $\C^d$. We concern with the Bernstein-Markov properties of the triple $(P,K,\mu)$ where $\mu$ 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 $P=\Sigma$ the unit simplex) in \cite{BloomLe99}.
Abstract
Given a compact subset $P \subset (\R^+)^d$ and a compact set $K$ in $\C^d$. We concern with the Bernstein-Markov properties of the triple $(P,K,\mu)$ where $\mu$ 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 $P=\Sigma$ the unit simplex) in \cite{BloomLe99}.
참고문헌 (14)
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