On Product of Radón Measures
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 427-444

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

Let X, Y be locally compact Hausdorff spaces and μ, ν be Radón outer measures on X and Y respectively. The classical product outer measure φ on X × Y generated by measurable rectangles, without direct reference to the topology, turns out to have some serious drawbacks. For example, one can only prove that closed sets (and hence Baire sets) are φ-measurable. It is unknown, even when X and Y are compact, whether closed sets are φ-measurable.
Godfrey, M. C.; Sion, M. On Product of Radón Measures. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 427-444. doi: 10.4153/CMB-1969-053-x
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[1] 1. Bledsoe, W. W. and Morse, A. P., Product measures. Trans. Amer. Math. Soc. 79 (1955) 173–215. Google Scholar

[2] 2. Bourbaki, N., Elements de mathématique: Livre VI, Intégration, Chap. I-IV. (Actual. Scient. Ind., No. 1175, Hermann, Paris, 1952.) Google Scholar

[3] 3. Edwards, R. E., A theory of Radón measures on locally compact spaces. Acta Math. 89 (1953) 133–164. Google Scholar

[4] 4. Halmos, P.R., Measure theory. (Van Nostrand, New York, 1950.) Google Scholar

[5] 5. Hewitt, E., Integration on locally compact spaces I, University of Washington Publications in Mathematics 3 (1952) 71–75. Google Scholar

[6] 6. Munroe, E. M., Introduction to measure and integration. (Addison-Wesley, Reading, 1953.) Google Scholar

[7] 7. Sierpinski, W., Sur le problème concernant les ensembles measurables superficiellement. Fund. Math. 1 (1920) 112–115. Google Scholar

[8] 8. Stromberg, K., A note on the convolution of regular measures. Math. Scand. 7 (1959) 347–352. Google Scholar

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