I believe this very appealing little Jack Russell is called Maglorian, and his 'man' is novelist Will Self. You can see more of Maglorian here and here, 'talking' about the Man Booker shortlisted Umbrella
in which, as you'll see if you look at the second clip, he may have had a paw.
Other writers' dogs may be found here, and Will Self will be appearing (though most likely without Maglorian - boo!) here.