Absolutely continuous and locally quasi-invariant measures on locally compact semigroups
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- by Henry A. M. Dzinotyiweyi
- Proc. Amer. Math. Soc. 69 (1978), 49-55
- DOI: https://doi.org/10.1090/S0002-9939-1978-0476907-4
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Abstract:
Let S be a locally compact semigroup and T a locally compact subsemigroup of S. It is shown that, for a large class of semigroups S, if T is ’reasonably large’, the absolutely continuous measures on T extend to measures whose translates by some points of S are absolutely continuous on S. As a consequence we prove the absolute continuity of translates of some measures related to a locally quasi-invariant measure.References
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Bibliographic Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 49-55
- MSC: Primary 22A20; Secondary 43A05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0476907-4
- MathSciNet review: 0476907