  We prove representation formulas for the coisotropic Hofer-Zehnder capacities
of bounded convex domains with special coisotropic submanifolds and the leaf
relation (introduced by Lisi and Rieser recently), study their estimates and
relations with the Hofer-Zehnder capacity,give some interesting corollaries,
and also obtain corresponding versions of a Brunn-Minkowski type inequality by
Artstein-Avidan and Ostrover and a theorem by Evgeni Neduv.
