Conformal rescaling of conformal Yano--Killing tensors and relations between Yano and CYK tensors are discussed. Pullback of these objects to a submanifold is used to construct all solutions of a CYK equation in anti-de Sitter and de Sitter space-times. Properties of asymptotic conformal Yano--Killing tensors are examined for asymptotic anti-de Sitter space-times. Explicit asymptotic forms of them are derived. The results are used to construct asymptotic charges in asymptotic AdS space-time. Well known examples like Schwarzschild--AdS, Kerr--AdS and NUT--AdS are examined carefully in the construction of the concept of energy, angular momentum and dual mass in asymptotic AdS space-time.

PACS numbers: 02.40.--k, 04.20.Ha, 11.10.Jj, 11.30.--j