CHARACTERIZATION OF UPPER SEMICONTINUOUSLY INTEGRABLE FUNCTIONS

Authors
BUCZOLICH Z
Citation
Z. Buczolich, CHARACTERIZATION OF UPPER SEMICONTINUOUSLY INTEGRABLE FUNCTIONS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 59, 1995, pp. 244-254
Citations number
6
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
59
Year of publication
1995
Part
2
Pages
244 - 254
Database
ISI
SICI code
0263-6115(1995)59:<244:COUSIF>2.0.ZU;2-W
Abstract
We show that for a Henstock-Kurzweil integrable function f for every e psilon>0 one can choose an upper semicontinuous gage function delta, u sed in the definition of the HK-integral if and only if \f\ is bounded by a Baire 1 function. This answers a question raised by C. E. Well.