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We introduce the notion of a symplectic capacity relative to a coisotropicsubmanifold of a symplectic manifold, and we construct two examples of suchcapacities through modifications of the Hofer-Zehnder capacity. As aconsequence, we obtain a non-squeezing theorem for symplectic embeddingsrelative to coisotropic constraints and existence results for leafwise chordson energy surfaces.

Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings