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On derivatives of conjugate trigonometric polynomials in $L_0$ (in Russian)
Journal: Matematychni Studii (Vol.37, No. 2)Publication Date: 2012-04-01
Authors : Adamov A. N.;
Page : 147-154
Keywords : derivatives of the polynomials; conjugate trigonometric polynomial; L_0 space; Szego inequality;
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Abstract
We consider Szego type inequality, where the norm of the derivatives of the conjugate trigonometric polynomials is measured by the norm of the polynomial itself in $L_0$ space. We improve the estimate of the constant in it, which was got by V. V. Arestov before.
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Last modified: 2014-01-13 20:03:36