Weighted Grand Lebesgue Space with a Mixed Norm and Integral Operators


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Abstract

Weighted grand Lebesgue spaces with mixed norms are introduced, and criteria for the boundedness of strong maximal functions and Riesz transforms in these spaces are given.

About the authors

V. M. Kokilashvili

Razmadze Mathematical Institute, Tbilisi State University

Author for correspondence.
Email: vakhtangkokilashvili@yahoo.com
Georgia, Tbilisi, 0177

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