Korpikoski, 30, signed a one-year, $1 million contract with the Stars on Oct. 10, according to CapFriendly.com. He can become an unrestricted free agent July 1.
"I know Korpikoski very well. He played on the World Cup team for Finland," Blue Jackets general manager Jarmo Kekalainen said. "[Coach] John Tortorella [was his coach with the New York Rangers in 2008-09]. He's a player who can play on the left side or right side. He has a lot of speed."
He has 20 points (eight goals, 12 assists) in 60 games this season, and 201 points (86 goals, 115 assists) in 600 regular-season games during nine seasons with the Stars, Edmonton Oilers, Arizona Coyotes and New York Rangers.
Korpikoski was selected by the Rangers with the No. 19 pick in the 2004 NHL Draft.
"Lauri has played very well for us," Dallas general manager Jim Nill said. "He's done a great job, he was a pro tryout in Calgary that we ended up signing, with the injuries he came in and did a great job for us.. He's going to a good team, a team that has a good chance to win it.
Heatherington, 21, was selected by the Blue Jackets in the second round (No. 50) of the 2013 NHL Draft. He has six points (one goal, five assists) in 38 games for the Cleveland Monsters of the American Hockey League this season, and helped the Monsters, then Lake Erie, win the Calder Cup last season.
"We have a lot of good prospects on our depth chart and that allowed us to do the trade for Korpikoski and we're still in good shape," Kekalainen said.