Characterizations of Kurzweil-Henstock-Pettis integrable functions

• Autorzy: L. Di Piazza , K. Musiał
• Języki publikacji: EN

Abstrakty

EN

We prove that several results of Talagrand proved for the Pettis integral also hold for the Kurzweil-Henstock-Pettis integral. In particular the Kurzweil-Henstock-Pettis integrability can be characterized by cores of the functions and by properties of suitable operators defined by integrands.

Kategorie tematyczne

• 28A20: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
• 28B05: Vector-valued set functions, measures and integrals
• 26A39: Denjoy and Perron integrals, other special integrals
• 46G10: Vector-valued measures and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 176
• Numer: 2
• Strony: 159-176

Daty

wydano

2006

Twórcy

autor

L. Di Piazza

• Department of Mathematics, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy

autor

K. Musiał

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/sm176-2-4