Author

Li Gao

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Preprint Oct 2026

Noncommutative $L_p$-Poincar\'{e} inequalities

We derive $L_p$-Poincar\'{e} inequalities for quantum Markov semigroups on finite von Neumann algebras, from a spectral gap (PI) or from a modified logarithmic Sobolev inequality (MLSI). For $p\ge2$, the corresponding coefficients have optimal order $O(p)$ and $O(\sqrt p)$, respectively. Both estimates follow from Beck...

Li Gao, M. Junge, Zhen-Dong Xu et al. · 0 citations