Someone was asking about this a while back. I'm sure there are carpenter words for that door style, but I don't know what they are (it would be an easier search if we knew!). If you use a knob with a small base, it should be fine without any special effort. You'll just have to hold up your knob against the door to be sure.

Here is a link that might be useful: earlier post for similar problem

Thank you Fori - that is exactly the same question! I should have put "pillow" in my search! :)