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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 9, Pages 56–61 (Mi ivm9035)
This article is cited in 4 papers

Brief communications

Linear conjugation problem for analytic functions in the weighted Hölder spaces

G. N. Aver'yanov, A. P. Soldatov

Chair of Mathematics, Belgorod State National Research University, 14 Studencheskaya str., Belgorod, 308007 Russia

Abstract: We consider the classical problem of linear conjugation for analytic functions on piecewise-smooth curve in the whole scale of weighted Hölder spaces and describe its solvability in dependence on a weight order.

Keywords: linear conjugation, weight spaces, Cauchy index, canonical function, resolvability conditions.

UDC: 517.9

Presented by the member of Editorial Board: A. M. Denisov
Received: 12.03.2015


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:9, 47–50

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