Mutually non isomorphic mixed-norm Lebesgue spaces

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 < ∞ .

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Publication Details

Journal
Journal of Functional Analysis
Published
2026-02-04
DOI
https://doi.org/10.1016/j.jfa.2026.111384
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

Mutually non isomorphic mixed-norm Lebesgue spaces

José L. Ansorena, Glenier Bello
Journal of Functional Analysis
Advanced Harmonic Analysis Research
article

Mutually non isomorphic mixed-norm Lebesgue spaces

José L. Ansorena, Glenier Bello
article en

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 < ∞ .

Journal of Functional AnalysisVol. 290(9)
Universidad de La Rioja (ES), Universidad de Zaragoza (ES)
Reduced inequalities
Openalex Percentile: Top 64%
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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