English

A simple proof of logarithmic Sobolev inequality on the Heisenberg groups

Probability 2023-02-07 v3

Abstract

In this note we give a simple, dimension independent, proof of the logarithmic Sobolev inequality on the Heisenberg groups Hn=R2n+1H_n=\R^{2n+1} using the measure preserving transformations of the Brownian motion. We have corrected some serious flaws and simplified the proofs.

Keywords

Cite

@article{arxiv.2202.09752,
  title  = {A simple proof of logarithmic Sobolev inequality on the Heisenberg groups},
  author = {Ali Süleyman Üstünel},
  journal= {arXiv preprint arXiv:2202.09752},
  year   = {2023}
}

Comments

Numerical error