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Does the Gaussian Poincare inequality hold for infinite dimensional measure metric spaces?

This is a question subsequent to the one: Does the Gaussian Poincare inequality hold for $p=1$ as well as $p=2$? There, I received a very helpful answer that the Gaussian poincare inequality for any ...
Isaac's user avatar
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0 votes
0 answers
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A measure on the group of homeomorphisms of $\mathbb T^2$

Let us consider the group of measure-preserving homeomorphisms of $\mathbb T^2$ (with transformations identified if they agree almost everywhere) called $G[\mathbb T^2, \mathcal L^2]$. We shall ...
user490373's user avatar
-1 votes
2 answers
409 views

$X$ is Polish and $N$ is countable. Is $N^X$ Polish? [closed]

$X$ is a separable, completely metrizable topological space equipped with its sigma algebra of Borel sets. $N$ is a countable space. $X^N$ is the collection of all mappings from $N$ to $X$. It is ...
High GPA's user avatar
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