Geodesic
Inequalities for polyharmonic polynomials in a mixed norm
Izvestiya. Mathematics , Tome 1 (1967) no. 2, pp. 259-272.

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This paper establishes inequalities in terms of a mixed norm for polynomials which are polyharmonic in the unit circle. These inequalities are of Bernshtein type for trigonometric polynomials. On the basis of the inequalities obtained, one can explain the differential properties of functions polyharmonic in the unit circle as regards their dependence on properties of the boundary values. 
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Ya. S. Bugrov. Inequalities for polyharmonic polynomials in a mixed norm. Izvestiya. Mathematics , Tome 1 (1967) no. 2, pp. 259-272. http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a3/

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