Geodesic
The Riemann--Hhilbert boundary value problem for generalized analytic functions in Smirnov classes
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 3, pp. 63-73

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Under study is the Riemann–Hilbert boundary value problem for generalized analytic functions of a Smirnov class in a bounded simply connected domain whose boundary is a Lyapunov curve or a Radon curve without cusps. The coefficient of the boundary value condition is assumed continuous and perturbed by a bounded measurable function or continuous and perturbed by a bounded variation function. The paper uses the special representation for generalized analytic functions of Smirnov classes from the author's paper [16], which reduces the problem to that for holomorphic functions. The problem for the holomorphic functions was under study in the author's papers [1,2]. 
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     author = {S. B. Klimentov},
     title = {The {Riemann--Hhilbert} boundary value problem for generalized analytic functions in {Smirnov} classes},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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S. B. Klimentov. The Riemann--Hhilbert boundary value problem for generalized analytic functions in Smirnov classes. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 3, pp. 63-73. http://geodesic.mathdoc.fr/item/VMJ_2012_14_3_a6/