Extrapolation of compactness on weighted mixed Lebesgue spaces

A version of the Fr\'echet-Kolmogorov theorem for the compactness of operators in weighted mixed Lebesgue spaces is proved and a corresponding compact extrapolation theory a la Rubio de Francia is developed. Several applications are presented too.

Publication Details

Journal
ArXiv.org
Published
2025-03-16
Primary Topic
Advanced Harmonic Analysis Research
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article
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article

Extrapolation of compactness on weighted mixed Lebesgue spaces

ArXiv.org
Advanced Harmonic Analysis Research
article

Extrapolation of compactness on weighted mixed Lebesgue spaces

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Abstract

A version of the Fr\'echet-Kolmogorov theorem for the compactness of operators in weighted mixed Lebesgue spaces is proved and a corresponding compact extrapolation theory a la Rubio de Francia is developed. Several applications are presented too.

ArXiv.org
Openalex Percentile: Top 39%
Advanced Harmonic Analysis Research
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Extrapolation of compactness on weighted mixed Lebesgue spaces · ArXiv.org (2025) | TGRS Research Map | TGRS