Generalized singular integral on Carleson curves in weighted grand Lebesgue spaces

This paper studies the mapping properties of the integral operator generated by that singular integral which arises in the theory of I. Vekua generalized analytic functions. Boundedness problems are explored in weighted grand Lebesgue spaces. Keywords: Vekua’s generalized singular integral, Generali...

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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/S2346809216300496