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

Autor: Fraccaroli, Marco
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 21 pages, no figures
Databáze: arXiv