2017
Том 69
№ 9

All Issues

Best approximation of reproducing kernels of spaces of analytic functions

Savchuk V. V.

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Abstract

We obtain exact values for the best approximation of a reproducing kernel of a system of p-Faber polynomials by functions of the Hardy space H q, p -1 + q -1 = 1 and a Szegö reproducing kernel of the space E 2(Ω) in a simply connected domain Ω with rectifiable boundary.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 7, pp 1127-1143.

Citation Example: Savchuk V. V. Best approximation of reproducing kernels of spaces of analytic functions  // Ukr. Mat. Zh. - 2004. - 56, № 7. - pp. 947–959.

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