Rubio de Francía's weighted extrapolation in mixed‐norm spaces and applications

Author:

Kokilashvili Vakhtang1,Meskhi Alexander2

Affiliation:

1. A. Razmadze Mathematical Institute I. Javakhishvili Tbilisi State University Tbilisi Georgia

2. School of Mathematics Kutaisi International University Kutaisi Georgia

Abstract

AbstractWeighted extrapolation for pairs of functions in mixed‐norm Banach function spaces defined on the product of quasi‐metric measure spaces and are derived. As special cases, we have appropriate results for mixed‐norm Lebesgue, Lorentz, and Orlicz spaces. Some of the derived results are applied to get weighted extrapolation in mixed‐norm grand Lebesgue spaces.

Funder

Shota Rustaveli National Science Foundation

Publisher

Wiley

Subject

General Mathematics

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