The multilinear Hörmander multiplier theorem with a Lorentz–Sobolev condition

In this article, we provide a multilinear version of the Hörmander multiplier theorem with Lorentz–Sobolev space condition. The work is motivated by recent result first author and Slavíková [12] where an analogous classical was obtained; sharp in many ways reduces number indices that appear statement theorem. As natural extension linear case, work, prove if $$mn/21$$