Geodesic
Some Applications of a Theorem of Marcinkiewicz
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 165-174

Voir la notice de l'article provenant de la source Cambridge University Press

A classical theorem of Marcinkiewicz states that a function is Perron integrable iff it has one continuous major and one continuous minor function. Using an elaboration of this remarkable theorem three applications are made; to obtain a new proof of a recent characterization of the Perron integral, to proofs of some theorems on interchange of limits and integration and to extend classical existence theorems for ordinary differential equations. 
Bullen, P. S.; Vyborny, R. Some Applications of a Theorem of Marcinkiewicz. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 165-174. doi: 10.4153/CMB-1991-027-x
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