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

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  • Vakhtang Kokilashvili
  • Alexander Meskhi

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)$(X, d, \mu )$ 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.

Suggested Citation

  • Vakhtang Kokilashvili & Alexander Meskhi, 2023. "Rubio de Francía's weighted extrapolation in mixed‐norm spaces and applications," Mathematische Nachrichten, Wiley Blackwell, vol. 296(9), pages 3929-3947, September.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:9:p:3929-3947
    DOI: 10.1002/mana.202100244
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