Loomis-Whitney inequalities on corank $1$ Carnot groups
Loomis-Whitney inequalities on corank $1$ Carnot groups
In this paper we provide another way to deduce the Loomis-Whitney inequality on higher dimensional Heisenberg groups $\mathbb{H}^n$ based on the one on the first Heisenberg group $\mathbb{H}^1$ and the known nonlinear Loomis-Whitney inequality (which has more projections than ours). Moreover, we generalize the result to the case of corank …