NEX-7 movies on iPad?
I just tried it. The mp4 uploaded to the iPad the same way as stills do. It was just a short clip so I don't know if there's a size limit.
I was just about to report the same thing. The file size is probably just limited to the free space on your iPad. I'd add that you'll need a video editing app (e.g. iMovie) if you want to edit the video on the iPad and you'll need to account for the space needed for the edited video.