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arXiv · 2512.03349

Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups

Maria Gordina·Liangbing Luo
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Abstract

We construct a family of infinite-dimensional reduced Heisenberg groups which can be viewed as infinite-dimensional homogeneous spaces. Such a space is an analogue of finite-dimensional reduced Heisenberg groups in infinite dimensions. We study properties of the hypoelliptic heat kernel measure on this space, including hypoelliptic logarithmic Sobolev inequalities there.

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Maria Gordina, Liangbing Luo. 2025-12-03. Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups. https://arxiv.org/abs/2512.03349

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