Hi there, I also got the same problem though just this morning, while I finished my App Store downloading and quitted it, all things on the screen froze right there. Since I got this problem just after closing App Store, having upgraded to OS 10.6.7 yesterday, I was like trying to restart my Air, App Store, and then the iTunes. Somehow, it does work now, I mean working pretty well right now. I don't know what happened exactly before I saw this post, things like to do with the account files?
Anyways, running App Store then iTunes seems work as well. Try it out.