On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals

• Main Authors: Racca, Abraham P, Cabral, Emmanuel A
• Format: text
• Published: Archīum Ateneo 2016
• Subjects: Kurzweil-Henstock integral; g-integral; double Lusin condition; uniform double Lusin condition; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/63; http://mb.math.cas.cz/full/141/2/mb141_2_4.pdf
• Institution: Ateneo De Manila University

Equiintegrability in a compact interval E may be defined as a uniform integrability property that involves both the integrand fn and the corresponding primitive Fn. The pointwise convergence of the integrands fn to some f and the equiintegrability of the functions fn together imply that f is also in...