A simple proof of logarithmic Sobolev inequality on the Heisenberg groups

Ali Süleyman Üstünel

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arXiv · 2202.09752

A simple proof of logarithmic Sobolev inequality on the Heisenberg groups

Ali Süleyman Üstünel

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Abstract

In this note we give a simple, dimension independent, proof of the logarithmic Sobolev inequality on the Heisenberg groups $H_n=\R^{2n+1}$ using the measure preserving transformations of the Brownian motion. We have corrected some serious flaws and simplified the proofs.

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Ali Süleyman Üstünel. 2022-02-20. A simple proof of logarithmic Sobolev inequality on the Heisenberg groups. https://arxiv.org/abs/2202.09752

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