Compact sets in quasi-Banach function spaces and multilinear extrapolation of compactness on $L^{p(\cdot )}(w)$

Spyridon Kakaroumpas, Stefanos Lappas

This paper addresses a novel Riesz--Kolmogorov theorem on quasi-Banach function spaces under mild conditions and the extrapolation of multilinear compact operators in the context o…