New Estimations for Coisotropic Ekeland–Hofer–Zehnder Capacity

Abstract

In this paper, we give an estimation for coisotropic Ekeland–Hofer–Zehnder capacity by combinatorial formula. This result implies that coisotropic Ekeland–Hofer–Zehnder capacity can measure the symmetry of convex bodies with respected to \(\mathbb {R}^{n,k}\) in some sense. Next, we talk about the behavior of coisotropic Ekeland–Hofer–Zehnder capacity of convex domains in the classical phase space with respect to symplectic p-products.