The Riemann–Hilbert problem in the class of Cauchy type integrals with densities of grand Lebesgue spaces

The present paper deals with a solution of the Riemann–Hilbert problem in the class of Cauchy type integrals with densities of certain new nonstandard Banach function spaces. The solvability conditions are explored and the solutions (if any) are constructed explicitly. Keywords: Grand Lebesgue space...

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Bibliographic Details
Main Authors: Vakhtang Kokilashvili, Alexander Meskhi, Vakhtang Paatashvili
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809216300472