In 1989, filmmakers Joel and Ethan Coen began writing the script for a film eventually released as Miller's Crossing. The many threads of the story became complicated, and after four months they found themselves lost in the process. Although biographers and critics later referred to it as writer's block, the Coen brothers rejected this description. "It's not really the case that we were suffering from writer's block," Joel said in a 1991 interview, "but our working speed had slowed, and we were eager to get a certain distance from Miller's Crossing." They went from Los Angeles to New York and began work on a different project.  In three weeks, the Coens wrote a script with a title role written specifically for actor John Turturro, with whom they'd been working on Miller's Crossing. The new film, Barton Fink, was set in a large, seemingly-abandoned hotel. This setting, which they named the Hotel Earle, was a driving force behind the story and mood of the new project. While filming their 1984 film Blood Simple in Austin, Texas, the Coens had seen a hotel which made a significant impression: "We thought, 'Wow, Motel Hell.' You know, being condemned to live in the weirdest hotel in the world."  The writing process for Barton Fink was smooth, they said, suggesting that the relief of being away from Miller's Crossing may have been a catalyst. They also felt satisfied with the overall shape of the story, which helped them move quickly through the composition. "Certain films come entirely in one's head; we just sort of burped out Barton Fink." While writing, the Coens created a second leading role with another actor in mind: John Goodman, who had appeared in their 1987 comedy Raising Arizona. His new character, Charlie, was Barton's next-door neighbor in the cavernous hotel. Even before writing, the Coens knew how the story would end, and wrote Charlie's final speech at the start of the writing process.  The script served its diversionary purpose, and the Coens put it aside: "Barton Fink sort of washed out our brain and we were able to go back and finish Miller's Crossing." Once production of the first film was finished, the Coens began to recruit staff to film Barton Fink. Turturro looked forward to playing the lead role, and spent a month with the Coens in Los Angeles to coordinate views on the project: "I felt I could bring something more human to Barton. Joel and Ethan allowed me a certain contribution. I tried to go a little further than they expected."  As they designed detailed storyboards for Barton Fink, the Coens began looking for a new cinematographer, since their associate Barry Sonnenfeld - who had filmed their first three films - was occupied with his own directorial debut, The Addams Family. The Coens had been impressed with the work of English cinematographer Roger Deakins, particularly the interior scenes of the 1988 film Stormy Monday. After screening other films he had worked on (including Sid and Nancy and Pascali's Island), they sent a script to Deakins and invited him to join the project. His agent advised against working with the Coens, but Deakins met with them at a cafe in Notting Hill and they soon began working together on Barton Fink.

Answer this question "who wrote the script?" by extracting the answer from the text above.
the Coens wrote a script with a title role written specifically for actor John Turturro,