Some apps doesn’t accept some characters from the «Compose» key

The problem is that the compose key works fine, but some application doesn’t accept some characters from it. E.g. I can type the character in Emacs (Compose+8+8), but this won’t work in FireFox, Konsole and Kate. But many other characters, e.g. typed there (in FireFox, Konsole and Kate) with Compose work just fine. Also I may insert a problem symbols with a simple copy-paste (from any of two clipboards).