This article is cited in 4 scientific papers (total in 4 papers)
The Riemann–Hhilbert boundary value problem for generalized analytic functions in Smirnov classes
S. B. Klimentovab
a Southern Federal University, Russia, Rostov-on-Don
b South Mathematical Institute of VSC RAS, Russia, Vladikavkaz
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 , 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].
Riemann–Hilbert boundary value problem, generalized analytic functions, Smirnov classes.
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S. B. Klimentov, “The Riemann–Hhilbert boundary value problem for generalized analytic functions in Smirnov classes”, Vladikavkaz. Mat. Zh., 14:3 (2012), 63–73
Citation in format AMSBIB
\paper The Riemann--Hhilbert boundary value problem for generalized analytic functions in Smirnov classes
\jour Vladikavkaz. Mat. Zh.
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Kokilashvili V., Paatashvili V., “The Riemann Boundary Value Problem in Variable Exponent Smirnov Class of Generalized Analytic Functions”, Proc. A Razmadze Math. Inst., 169 (2015), 105–118
V. Paatashvili, “Certain properties of generalized analytic functions from Smirnov class with a variable exponent”, Mem. Differ. Equ. Math. Phys., 69 (2016), 77–91
V. Kokilashvili, V. Paatashvili, “On the Riemann-Hilbert boundary value problem for generalized analytic functions in the framework of variable exponent spaces”, Math. Meth. Appl. Sci., 40:18 (2017), 7267–7286
Pozzi E., “Hardy Spaces of Generalized Analytic Functions and Composition Operators”, Concr. Operators, 5:1 (2018), 9–23
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