This study provides new equivalent descriptions of the Bounded Lower Oscillation (BLO) space through Luxemburg-type Lφ integrability conditions, where φ is a nonnegative function with either convexity or concavity. The framework accommodates various representative forms of φ, such as the power function φ(t)=tp, exponential-type functions φ(t)=ept−1, and logarithmic functions φ(t)=log+kt, with parameters p∈(0,∞) and k∈N. These results unify and extend existing characterizations of BLO by encompassing a broad class of generating functions.