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RESEARCH PRODUCT

Decomposability in the space of HKP-integrable functions

Giovanni Porcello

subject

Settore MAT/05 - Analisi MatematicaMultifunction Henstock-Kurzweil integral Henstock-Kurzweil-Pettis integral decomposability

description

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.

http://hdl.handle.net/10447/101093