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.

中文翻译：

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凸域的 Coisotropic Hofer–Zehnder 容量及相关结果

我们证明了具有特殊各向同性子流形的有界凸域的各向同性 Hofer-Zehnder 容量的表示公式和叶关系（最近由 Lisi 和 Rieser 引入），研究它们的估计和与 Hofer-Zehnder 容量的关系，给出一些有趣的推论，并且还获得了 Artstein-Avidan 和 Ostrover 的 Brunn-Minkowski 类型不等式的相应版本以及 Evgeni Neduv 的定理。