Questions tagged [lorentz]

The standard functional isoperimetric inequality is for an integer $n\ge 1$, $$ \Vert u\Vert_{L^{\frac{n}{n-1}}(\mathbb R^n)}\le c(n)\Vert \nabla u\Vert_{L^1(\mathbb R^n)}, \quad c(n)=\frac{(\vert\...