Dimension-free estimates for semigroup BMO and $A_p$

Leonid Slavin, Pavel Zatitskii

Let $K_t$ be either the heat or the Poisson kernel on ${\mathbb{R}}^n.$ Let $\mathcal{A}$ stand either for BMO equipped with the quadratic seminorm or for $A_p,$ $1<p\le \infty .$ We…