Weighted grand Lebesgue spaces with mixed-norms and integral operators

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Abstract

In this paper, the weighted grand Lebesgue spaces with mixed-norms are introduced and boundedness criteria in these spaces of strong maximal functions and Riesz transforms are presented.

About the authors

V. M. Kokilashvili

A. Razmadze Mathematical Institute of I. Javakhishvili, Tbilisi State University

Author for correspondence.
Email: vakhtangkokilashvili@yahoo.com
Georgia, 1, M. Aleksidze str., Tbilisi, 380093

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