UV is more energetic than IR, and, obviously the absorption of UV by the ozone layer heats the ozone layer, and that heat, obviously, must be slowly diffused to lower layers. The question to answer would be "How much?"If you wouldn't mind getting him to explain it to me at the same time that would be good.
Not a pisstake (and most of my information is about a decade out of date) but I was under the impression that the ozone layer and temperatures at the surface weren't related. Destruction of the ozone layer was mainly due to chlorine free radicals and the subsequent chain reactions whereas global warming is due to the absorption of IR emitted from the Earth's surface. As far as I understand it anyway.