I must have missed this post first time round.
Yes, in broad terms Moldy is right, ULead Video Studio will be compatible with a Sony Vaio. However, sucess will depend upon the detailed spec of the laptop. Use Windows XP, as much memory as you can, and as much disk space as you can, and capture by Firewire and you should be OK.
Just to be absolutely sure, you can check the minimum system spec requirements for the product at
www.ulead.com
Good luck