ContactsAddress: Markusa st. 22, Vladikavkaz,
|
DOI: 10.23671/VNC.2012.14.10970 The Riemann-Hilbert boundary value problem for generalized analytic functions in Smirnov classes
Klimentov S. B.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 3.
Abstract:
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].
Keywords: Riemann--Hilbert boundary value problem, generalized analytic functions, Smirnov classes
Language: Russian
Download the full text
For citation: Klimentov S. B. The Riemann-Hilbert boundary value problem for generalized analytic functions in Smirnov classes.Vladikavkazskij matematicheskij zhurnal [Vladikavkaz Math. J.],
2012, vol. 14, no. 3, pp.63-73.
DOI 10.23671/VNC.2012.14.10970 ← Contents of issue |
|
|
|||
© 1999-2021 Þæíûé ìàòåìàòè÷åñêèé èíñòèòóò | |||