A hymenophore refers to the hymenium-bearing structure of a fungal fruiting body. Hymenophores can be smooth surfaces, lamellae, folds, tubes, or teeth. ...
Spore-bearing structure; the part of a basidioma bearing the hymenium. 
• (n.) That part of a fungus which is covered with the hymenium.
Hy·men'o·phore noun [ Greek ... a membrane + ... to bear.] (Botany) That part of a fungus which is covered with the hymenium.