Multilinear integral operators in weighted grand Lebesgue spaces-Reference-Cited by-同舟云学术

Multilinear integral operators in weighted grand Lebesgue spaces

Published:2016-06-01 Issue:3 Volume:19 Page:696-724
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Kokilashvili Vakhtang¹,Mastyło Mieczysław²,Meskhi Alexander³

Affiliation:

1. A. Razmadze Mathematical Institute I. Javakhishvili Tbilisi State University 6, Tamarashvili Str., Tbilisi 0177, GEORGIA and International Black Sea University 3 Agmashenebeli Ave. I. Javakhishvili Tbilisi State University Tbilisi 0131, GEORGIA

2. Adam Mickiewicz University in Poznań Umultowska 87, 61-614 Poznań, POLAND

3. A. Razmadze Mathematical Institute I. Javakhishvili Tbilisi State University 6, Tamarashvili Str., 0177 Tbilisi, GEORGIA and Dept. of Mathematics, Fac. of Informatics and Control Systems, Georgian Technical University, 77, Kostava St., Tbilisi, GEORGIA

Abstract

Abstract The boundedness of multi(sub)linear Hardy–Littlewood maximal, Calderón–Zygmund and fractional integral operators defined on metric measure spaces is established in weighted grand Lebesgue spaces. In particular, we derive the one-weight inequality for maximal and singular integrals under the Muckenhoupt type conditions, weighted Sobolev type theorem and trace type inequality for fractional integrals.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2016-0037/pdf

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