Southwest Airlines Co. is trying to expand its already dominant position at space-constrained Dallas Love Field by squeezing Delta Air Lines out of the city-owned airport and overtaking gates now controlled by Virgin America, new court documents indicate.

Dallas-based Southwest (NYSE: LUV) is dueling with Atlanta-based Delta (NYSE: DAL) in federal court in a case that’s springing back to life after several months of dormancy. In that case, Southwest Airlines and Delta are brawling over the use…