Beppo-Levi space
In functional analysis, a branch of mathematics, a Beppo Levi space, named after Beppo Levi, is a certain space of generalized functions. In the following, D′ is the space of distributions, S′ is the space of tempered distributions in Rn, Dα the differentiation operator with α a multi-index, and v ^ {\displaystyle {\widehat {v}}} is the Fourier transform of v.