Generalized singular integral on Carleson curves in weighted grand Lebesgue spaces

被引：0

作者：

Kokilashvili, Vakhtang ^{[1
,2
]}

Meskhi, Alexander ^{[1
,3
]}

Paatashvili, Vakhtang ^{[1
,3
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, Dept Math Anal, 6 Tamarashvili St, GE-0177 Tbilisi, Georgia

[2] Int Black Sea Univ, 3 Agmashenebeli Ave, GE-0131 Tbilisi, Georgia

[3] Georgian Tech Univ, Dept Math, Fac Informat & Control Syst, 77 Kostava St, GE-0175 Tbilisi, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2016年 / 170卷 / 02期

关键词：

Vekua's generalized singular integral; Generalized analytic functions; Carleson curves; Weighted grand Lebesgue spaces;

D O I：

10.1016/j.trmi.2016.07.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2016 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V.

引用

页码：212 / 214

页数：3

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