Geodesic
The growth of polynomials orthogonal on the unit circle with respect to a~weight~$w$ that satisfies $w,w^{-1}\in L^\infty(\mathbb{T})$
Sbornik. Mathematics, Tome 209 (2018) no. 7, pp. 985-1018

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We consider the polynomials $\{\varphi_n(z,w)\}$ orthogonal on the circle with respect to a weight $w$ that satisfies $w,w^{-1}\in L^\infty(\mathbb{T})$ and show that $\|\varphi_n(e^{i\theta},w)\|_{L^\infty(\mathbb{T})}$ can grow in $n$ at a certain rate. Bibliography: 21 titles.
Keywords: polynomials orthogonal on the circle
Mots-clés : Steklov's conjecture. 
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     author = {S. A. Denisov},
     title = {The growth of polynomials orthogonal on the unit circle with respect to a~weight~$w$ that satisfies $w,w^{-1}\in L^\infty(\mathbb{T})$},
     journal = {Sbornik. Mathematics},
     pages = {985--1018},
     publisher = {mathdoc},
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     number = {7},
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     language = {en},
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}
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S. A. Denisov. The growth of polynomials orthogonal on the unit circle with respect to a~weight~$w$ that satisfies $w,w^{-1}\in L^\infty(\mathbb{T})$. Sbornik. Mathematics, Tome 209 (2018) no. 7, pp. 985-1018. http://geodesic.mathdoc.fr/item/SM_2018_209_7_a3/