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  7. Rubio de Francía's Weighted Extrapolation in Mixed‐norm Spaces and Applications
 
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Rubio de Francía's Weighted Extrapolation in Mixed‐norm Spaces and Applications

Journal
Mathematische Nachrichten
ISSN
0025-584X
1522-2616
Date Issued
2023-07-06
Author(s)
Meskhi, Alexander  
Andrea Razmadze Mathematical Institute  
Kokilashvili, Vakhtang  
Andrea Razmadze Mathematical Institute  
Publisher
Wiley
DOI
10.1002/mana.202100244
URI
https://openscience.ge/handle/1/8499
Abstract
Weighted extrapolation for pairs of functions in mixed-norm Banach function spaces defined on the product of quasi-metric measure spaces (X,d,μ) and (Y,ρ,ν) 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.
Subjects

Rubio de Franc\'ia's ...

Mixed norm spaces

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