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.
Porcello, G. (2014). Decomposability in the space of HKP-integrable functions. MATHEMATISCHE NACHRICHTEN, 287(14-15), 1733-1744 [DOI 10.1002/mana.201300107].
Decomposability in the space of HKP-integrable functions
PORCELLO, Giovanni
2014-01-01
Abstract
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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
