Mutually non isomorphic mixed-norm Lebesgue spaces
Abstract
We prove that for 1 ≤ p , q ≤ ∞ the mixed-norm spaces L q ( L p ) are mutually non-isomorphic, with the only exception that L q ( L 2 ) is isomorphic to L q ( L q ) for all 1 < q < ∞ .
Fields of Study & Subjects
Advanced Banach Space Theory
Advanced Operator Algebra Research
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Journal of Functional Analysis
- Volume
- 290
- Issue
- 9
- Pages
- 111384–111384
- Publication date
- 4 February 2026
- Language
- EN