Geodesic
Sharp $L_p$-inequalities for derivatives of Blaschke products on the straight line
Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 55-58

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Extremal problems for the derivatives of Blaschke products in the Lebesgue space on a straight line are solved. The supremum and infimum of the seminorms $||\!\bullet\!||_{L_p(\mathbb{R})}$, $0$, $p\ne 1/s$ from the derivatives of Blaschke products are obtained. Upper and lower inequalities for the higher derivatives of Blaschke products in the Lebesgue space $L_{1/s}(\mathbb{R})$ were obtained by the author earlier.
Keywords: rational functions, Blaschke products, Bernstein type inequality. 
@article{PFMT_2019_4_a10,
     author = {T. S. Mardvilko},
     title = {Sharp $L_p$-inequalities for derivatives of {Blaschke} products on the straight line},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {55--58},
     publisher = {mathdoc},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2019_4_a10/}
}
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T. S. Mardvilko. Sharp $L_p$-inequalities for derivatives of Blaschke products on the straight line. Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 55-58. http://geodesic.mathdoc.fr/item/PFMT_2019_4_a10/