Geodesic
Riesz Decompositions
Canadian journal of mathematics, Tome 26 (1974) no. 3, pp. 753-760

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

All functions mentioned in this paper will be real-valued. If f 1, f 2, g are nonnegative functions on a set S that satisfy g ≦ f 1 + f 2, the Riesz decomposition problem associated with these data is to find functions gi on S such that The formula always furnishes a solution. The problem becomes more interesting if one asks under what conditions one can find solutions that are, roughly speaking, as smooth as the data. 
Nagel, Alexander; Rudin, Walter. Riesz Decompositions. Canadian journal of mathematics, Tome 26 (1974) no. 3, pp. 753-760. doi: 10.4153/CJM-1974-070-6
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