weakly measurable bounded function, local universal Pettis integrability, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), weak equivalence to weakly measurable functions, Radon measures, 28B99, Vector-valued set functions, measures and integrals, relatively weakly compact, Vector-valued measures and integration, Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence, 46G10, weakly equivalent to a measurable function