What Brad Cox sees in the near future for 15-plus acres surrounding North Hollywood’s busy public transit station is a living, working, playing community that moves around Los Angeles in far fewer cars. Trains, buses, ride-sharing services and bikes are all at the center of the ambitious transit-oriented development that Cox’s company, Trammell Crow Co. in Dallas, is planning within the neighborhood’s popular Arts District. The project, if approved, would bring more than 1,400 apartments, retail space, office buildings, performing arts venues and gathering spots to the area and create a single station for the Red and Orange rail and bus lines, and local buses, which are now separated. Trammell Crow’s proposal is the largest testament to developers’ and investors’ mounting interest in the North Hollywood Arts District. Should the project materialize, Cox, as senior managing director for Trammell Crow, sees a San Fernando Valley with far less congested roadways.