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 Ωwith rectifiable boundary.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 7, pp. 947–959, July, 2004.
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Savchuk, V.V. Best approximation of reproducing kernels of spaces of analytic functions. Ukr Math J 56, 1127–1143 (2004). https://doi.org/10.1007/PL00022187
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DOI: https://doi.org/10.1007/PL00022187