Real interpolation for mixed Lorentz spaces and Minkowski's inequality

DOI10.4171/ZAA/1736arXiv2303.00607MaRDI QIDQ6203814

Rainer Mandel

Publication date: 8 April 2024

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.00607

zbMATH Keywords

Minkowski's inequalitymixed Lorentz spacesreal interpolation theory

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Interpolation between normed linear spaces (46B70)

Cites Work

• Unnamed Item
• Mixed norms and iterated rearrangements
• On interpolation of \(2^ n \)Banach spaces and Lorentz spaces with mixed norms
• Interpolations of mixed-norm function spaces
• Hardy-Littlewood-Sobolev inequality on mixed-norm Lebesgue spaces
• Iterated weak and weak mixed-norm spaces with applications to geometric inequalities
• Sharp constants related to the triangle inequality in Lorentz spaces
• Multivariate Rearrangements and Banach Function Spaces with Mixed Norms
• On (L p 0 (A 0 ), L p 1 (A 1 )) θ, q
• Function Spaces

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