What are sleep apnea doctors called?

MDs. Several specialist take care of sleep apnea 1) pulmonary specialists 2) ear, nose, and throat specialist 3) neurologists and several others.
Different doctors. Ent doctors, pulmonary specialists, critical care specialists all have familiarity and treat apnea. There is a board specialty for sleep medicine and doctors who take the board exam and become board certified in sleep medicine are the true "sleep doctors.".