Real interpolation for mixed Lorentz spaces and Minkowski's inequality

Rainer Mandel

doi:10.4171/zaa/1736

JournalszaaVol. 42, No. 3/4pp. 457–469

Real interpolation for mixed Lorentz spaces and Minkowski's inequality

Rainer Mandel
Karlsruhe Institute of Technology (KIT), Germany

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Abstract

We prove embeddings and identities for real interpolation spaces between mixed Lorentz spaces. This partly relies on Minkowski's (reverse) integral inequality in Lorentz spaces $L^{p, r} (X)$ under optimal assumptions on the exponents $(p, r) \in (0, \infty) \times (0, \infty]$ .

Cite this article

Rainer Mandel, Real interpolation for mixed Lorentz spaces and Minkowski's inequality. Z. Anal. Anwend. 42 (2023), no. 3/4, pp. 457–469

DOI 10.4171/ZAA/1736