2-Local Derivations on the Centerless Ovsienko-Roger Algebra

We study 2-local derivations on the centerless Ovsienko-Roger algebra L lambda, which is the semi-direct product of the Witt algebra and its tensor density module. We prove that every 2-local derivation on L lambda is a derivation for lambda is an element of C\ {0, 1, 2}. We divide into two cases to consider 2-local derivations on L lambda depending on whether the parameter lambda is an integer, that is for the case lambda is an element of Z \ {0, 1, 2} and the case lambda /is an element of Z.