Beppo-Levi space

Beppo-Levi spaces, commonly denoted as \( B^{p,q} \), are a class of function spaces that generalize various function spaces, particularly in the context of interpolation theory and analysis. They are named after the mathematicians Giuseppe Beppo Levi and others who studied their properties. These spaces can often be considered as a way to capture the behavior of functions that have specific integrability and smoothness properties.