Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals

On a class of differentiable functions W r and the class \(\overline W ^r \) of functions conjugate to them, we obtain a complete asymptotic expansion of the upper bounds \(\mathcal{E}(\mathfrak{N},A\rho )_C \) of deviations of the harmonic Poisson integrals of the functions considered.

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Datum:2002
Hauptverfasser: Zhyhallo, K. M., Kharkevych, Yu. I., Жигалло, К. М., Харкевич, Ю. І.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4038
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:On a class of differentiable functions W r and the class \(\overline W ^r \) of functions conjugate to them, we obtain a complete asymptotic expansion of the upper bounds \(\mathcal{E}(\mathfrak{N},A\rho )_C \) of deviations of the harmonic Poisson integrals of the functions considered.