HIGHER P-SYMMETRIC EKELAND-HOFER CAPACITIES

This paper is devoted to the construction of analogues of higher Ekeland-Hofer symplectic capacities for P-symmetric subsets in the standard symplectic space (R-2n, omega(0)), which is motivated by Long and Dong's study about P-symmetric closed characteristics on P-symmetric convex bodies. We study the relationship between these capacities and other capacities, and give some computation examples. Moreover, we also define higher real symmetric Ekeland-Hofer capacities as a complement of Jin and the second named author's recent study of the real symmetric analogue about the first Ekeland-Hofer capacity.