Between Lie norm and dual Lie norm (Q1598363)

For any \(p\geq 1\) and any \(z\in\mathbb{C}^n\), the authors exhibited a function \(N_p(z)\) and proved 1) \(N_p(z)\) are indeed norms on \(\mathbb{C}^n\) and 2) \(N_p(z)\) is the dual norm of \(N_p(z)\) provided \(1/p+1/q=1\).