Hospitalized were Allen Walker, 16, son of Jeffrey Walker; Carolyn Tuft, 44; Shawn Munns, 34; and Stacy Hansen, 53.
The 18-year-old man who shot and killed at least five people Monday night has been identified as Sulejman Talovic, a Bosnian refugee who lived in Salt Lake City.
Little additional information was released about Talovic.
The Bosnian community, which numbers about 3,000 in Utah, planned a news conference later this afternoon.
Talovic parked his car in the west parking lot and walked into the mall, encountering two people, whom he shot. Then he walked further into the mall and shot a woman, said Police Chief Chris Burbank.
He then walked to a gift shop and shot five people. He shot several other people before he was gunned down. An off-duty Ogden police officer assisted four Salt Lake City police officers, but it is unclear who shot the assailant, Burbank said.
He had a backpack that carried numerous rounds of ammunition as well as a .38-caliber handgun, said the chief.
Police have no motive in the killing.