duality of continuous k-g-frames

K-g-frames, as an extension of g-frames and k-framesare one of the active fields in frame theory. in this paper, weconsider continuous k-g-frames which are a generalization of discrete k-g-frames. we give the necessary and sufficient conditions tocharacterize their duals. for example, the canonical dual of a givenk-g-frame is described by both its frame operator and its alternateduals.