Atlanta is Delta's largest hub, and Los Angeles is one of its most important destinations, so a large share of the seats between the two cities are on Delta. Southwest and a few other airlines also compete, but the schedule leans heavily towards Delta, particularly in the morning and evening banks.
That has a practical effect. With less price pressure than on routes where five airlines fight for passengers, fares can stay high, and the cheap ones tend to appear in specific windows. The best approach is to check often, stay flexible about the day and not assume that the first price you see is the lowest.
