Utilizing coset superspace approach, dual actions of super D1-and D3-branes
on AdS(5) x S-5 are constructed by carrying out duality transformation of
world-volume U(1) gauge field. Resulting world-volume actions are shown to
possess expected SL(2, Z) properties. Crucial ingredient for deriving SL(2,
Z) transformation property of the D-brane actions is covariance of SU(2; 2
\4) coset superspace algebra under SO(2) rotation between two ten-dimension
al Type IIB Majorana-Weyl spinors.