Gan Yao

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math.CA2026

A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $Z_{n}$ for $n \geq 4$

Gan Yao

For $1 < p \leq q < \infty$ and $n \geq 4$ , we prove that the Poisson-like semigroup $(P_{t})_{t \in R_{+}}$ on $Z_{n}$ , associated with the word length $I ¨ _{n} (k) = min (k, n - k)$ ,…

math.CA2025

Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $Z_{m \cdot 2^{k}}$

Gan Yao

For $1 < p \leq q < \infty$ and $n \in {3 \cdot 2^{k}, 2^{k}}$ with $k \geq 1$ , we prove that the Poisson-like semigroup $(P_{t})_{t \in R_{+}}$ on $Z_{n}$ , associated with the wo…

A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups Zn​ for n≥4

Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups Zm⋅2k​

A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $Z_{n}$ for $n \geq 4$

Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $Z_{m \cdot 2^{k}}$