We give a simultaneous study of $A$-Radon-Nikodym sets and $A$-Pettis sets for nonempty bounded subsets $A$ of Banach spaces with comparable characterizations of these two classes of sets by various properties, using certain weak*-measurable functions.
"An approach to generalized Radon-Nikodym sets and generalized Pettis sets." Hiroshima Math. J. 31 (1) 71 - 97, March 2001. https://doi.org/10.32917/hmj/1151511149