Abstract. In this paper we deal with interval multimeasures. We show some Radon-Nikodým theorems for such multimeasures using multivalued Henstock or Henstock-Kurzweil-Pettis derivatives. We do not use the separability assumption in the results.

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In this paper we introduce the notion of decomposability in the space of Henstock-Kurzweil-Pettis integrable (for short HKP-integrable) functions. We show representations theorems for decomposable sets of HKP-integrable or Henstock integrable functions, in terms of the family of selections of suitable multifunctions.