Geodesic
An Extension Theorem Concerning Frechet Measures
Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 278-285

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DOI

An F-measure on a Cartesian product of algebras of sets is a scalar-valued function which is a scalar measure independently in each coordinate. It is demonstrated that an F-measure on a product of algebras determines an F-measure on the product of the corresponding σ-algebras if and only if its Fréchet variation is finite. An analogous statement is obtained in a framework of fractional Cartesian products of algebras, and a measurement of p-variation of F-measures, based on Littlewood-type inequalities, is discussed.
DOI : 10.4153/CMB-1995-041-0
Mots-clés : 28A35, 46E27, 26D15 
Blei, Ron C. An Extension Theorem Concerning Frechet Measures. Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 278-285. doi: 10.4153/CMB-1995-041-0
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     title = {An {Extension} {Theorem} {Concerning} {Frechet} {Measures}},
     journal = {Canadian mathematical bulletin},
     pages = {278--285},
     year = {1995},
     volume = {38},
     number = {3},
     doi = {10.4153/CMB-1995-041-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-041-0/}
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