Interpolation of compact multilinear operators between quasi-Banach spaces

We investigate the interpolation properties of compact multilinear operators by the real method between quasi-Banach spaces. As an application we establish a reinforced version of a multilinear Marcinkiewicz theorem.

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Publication Details

Journal
Journal of Approximation Theory
Published
2025-08-22
DOI
https://doi.org/10.1016/j.jat.2025.106222
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Interpolation of compact multilinear operators between quasi-Banach spaces

Luz M. Fernández‐Cabrera, Thomas Kühn, Fernando Cobos
Journal of Approximation Theory
Advanced Banach Space Theory
article

Interpolation of compact multilinear operators between quasi-Banach spaces

Luz M. Fernández‐Cabrera, Thomas Kühn, Fernando Cobos
article en

Abstract

We investigate the interpolation properties of compact multilinear operators by the real method between quasi-Banach spaces. As an application we establish a reinforced version of a multilinear Marcinkiewicz theorem.

Journal of Approximation TheoryVol. 314
Universidad Complutense de Madrid (ES), Leipzig University (DE)
Ministerio de Ciencia, Innovación y Universidades, Deutsche Forschungsgemeinschaft, Agencia Estatal de Investigación
Openalex Percentile: Top 72%
Advanced Banach Space Theory
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