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

Weighted extrapolation for pairs of functions in mixed‐norm Banach function spaces defined on the product of quasi‐metric measure spaces (X,d,μ)$(X, d, \mu )$ and (Y,ρ,ν)$(Y, \rho , \nu )$ are derived. As special cases, we have appropriate results for mixed‐norm Lebesgue, Lorentz, and Orlicz spaces....

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Bibliographic Details
Published in:Mathematische Nachrichten 2023-09, Vol.296 (9), p.3929-3947
Main Authors: Kokilashvili, Vakhtang, Meskhi, Alexander
Format: Article
Language:English
Subjects:
Banach function spaces
Extrapolation
Function space
mixed‐norm function spaces
mixed‐norm grand Lebesgue spaces
Muckenhoupt's weights
multiple operators
weighted extrapolation
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Summary:Weighted extrapolation for pairs of functions in mixed‐norm Banach function spaces defined on the product of quasi‐metric measure spaces (X,d,μ)$(X, d, \mu )$ and (Y,ρ,ν)$(Y, \rho , \nu )$ 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.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.202100244