Your best bet is a "solid state relay".
240V, 15W, not a lot of current.
So, you could get one of the "in line" type,
http://opto22.com/site/pr_details.aspx?cid=3&item=MP240D2
a small footprint and lower cost
compared to the high-current, screw terminal type
http://opto22.com/site/pr_details.aspx?cid=3&item=240D3
Those are just for on-off operation, not proportional control or any of that like.