An asymptotic variant of the Fubini theorem for maps into CAT(0)-spaces

Kei Funano

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arXiv · 0803.3122

An asymptotic variant of the Fubini theorem for maps into CAT(0)-spaces

Kei Funano

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Abstract

The classical Fubini theorem asserts that the multiple integral is equal to the repeated one for any integrable function on a product measure space. In this paper, we derive an asymptotic variant of the Fubini theorem for maps into CAT$(0)$-spaces from the $L^1$ and $L^2$-concentration of the maps.

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BibTeX RIS

Kei Funano. 2008-03-21. An asymptotic variant of the Fubini theorem for maps into CAT(0)-spaces. https://arxiv.org/abs/0803.3122

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