  We study Bergman-Lorentz spaces on tube domains over symmetric cones, i.e.
spaces of holomorphic functions which belong to Lorentz spaces $L(p, q).$ We
establish boundedness and surjectivity of Bergman projectors from Lorentz
spaces to the corresponding Bergman-Lorentz spaces and real interpolation
between Bergman-Lorentz spaces. Finally we ask a question whose positive answer
would enlarge the interval of parameters $p\in (1, \infty)$ such that the
relevant Bergman projector is bounded on $L^p$ for cones of rank $r\geq 3.$
