Abstract:
Let AA be a Lebesgue measure space. We interpret measures on A×A×R× as ‘maps’ from A to A, which ‘spread’ A along itself; their Radon-Nikodym derivatives are also spread. We discuss the basic properties of the semigroup of such maps and the action of this semigroup on the spaces Lp(A).
Bibliography: 26 titles.
\Bibitem{Ner13}
\by Yu.~A.~Neretin
\paper On the boundary of the group of transformations leaving a~measure quasi-invariant
\jour Sb. Math.
\yr 2013
\vol 204
\issue 8
\pages 1161--1194
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Linking options:
https://www.mathnet.ru/eng/sm8086
https://doi.org/10.1070/SM2013v204n08ABEH004335
https://www.mathnet.ru/eng/sm/v204/i8/p83
This publication is cited in the following 1 articles:
Yu. A. Neretin, “Bi-invariant functions on the group of transformations leaving a measure quasi-invariant”, Sb. Math., 205:9 (2014), 1357–1372
Citation in format AMSBIB
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