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Zeitschrift für Analysis und ihre Anwendungen


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Volume 18, Issue 3, 1999, pp. 651–667
DOI: 10.4171/ZAA/904

Published online: 1999-09-30

On Products of Admissible Liftings and Densities

N. D. Macheras[1], K. Musiał[2] and W. Strauss[3]

(1) University of Piraeus, Greece
(2) Uniwersytet Wrocławski, Wroclaw, Poland
(3) Universität Stuttgart, Germany

We introduce the classes of admissible densities and show that there exist densities respecting coordinates, and product densities with marginals prescribable within these classes. For liftings there is the corresponding class of admissibly generated liftings. We apply these results to improve theorems on product liftings and liftings respecting coordinatei and to provide them a unifying approach.

Keywords: Admissible densities, product liftings, liftings respecting coordinates

Macheras N. D., Musiał K., Strauss W.: On Products of Admissible Liftings and Densities. Z. Anal. Anwend. 18 (1999), 651-667. doi: 10.4171/ZAA/904