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Let $\\mu$ be a unit Borel measure supported on a compact set which contains the support of $\\mu_K$. We prove that a Szeg\\H{o} condition in terms of the Radon-Nikodym derivative of $\\mu$ with respect to $\\mu_K$ implies that $$\\inf_n \\frac{\\|P_n(\\cdot;\\mu)\\|_{L^2(\\mathbb{C};\\mu)}}{\\mathrm{Cap}(K)^n}>0.$$\n  We show that $\\frac{\\|P_n(\\cdot;\\mu_K)\\|_{L^2(\\mathbb{C};\\mu_K)}}{\\mathrm{Cap}(K)^n}\\geq 1$ for any compact non-polar set $K$. 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