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arXiv · 2303.01336

Duality for outer $L^{p,\infty}$ spaces

Marco Fraccaroli
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Abstract

The $L^{p,\infty}$ quasi-norm of functions on a measure space can be characterized in terms of their pairing with normalized characteristic functions. We generalize this result to the case of the outer $L^{p,\infty}$ quasi-norms for appropriate sizes. This characterization provides an explicit form for certain implicitly defined quasi-norms appearing in an article of Di Plinio and Fragkos.

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Marco Fraccaroli. 2023-03-02. Duality for outer $L^{p,\infty}$ spaces. https://arxiv.org/abs/2303.01336

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