With trendy hotels and apartment complexes literally springing up on all sides, a drab one-story commercial building in South Park is now slated for redevelopment. Plans were filed with the city late last week for a new mixed-use development at northeast corner of Hill Street and Olympic Boulevard.  The project’s laconic case filing betrays little in the way of details, neither specifying the proposed building’s height or its intended uses.  The only hint thus far is a 2013 permit application from the Department of Building and Safety, which called for the construction of a 22-story high-rise tower featuring hotel rooms, office space, condominiums and ground-floor retail. If and when the proposed development comes to fruition, it will find itself in the midst of a neighborhood bustling with construction activity.  More than 1,000 residential units are currently in development within a two-block radius of the project site at 940 South Hill Street, with substantially more scheduled to break ground within the next two years. Adaptive reuse projects are also in store for several historic buildings along the adjacent Broadway Corridor.  Following in the footsteps of the Ace Hotel, which opened last January in the former United Artists Building, the Kor Group is currently converting the former Case Hotel at 11th Street and Broadway into a boutique inn.  On the opposite side of the intersection, the Hearst Corporation has revived plans to transform the former headquarters of the Los Angeles Herald-Examiner into creative offices.