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Dimension-free estimates for semigroup BMO and A_p

Dimension-free estimates for semigroup BMO and A_p

Let Kt be either the heat or the Poisson kernel on R n .Let A stand either for BMO equipped with the quadratic seminorm or for Ap, 1 < p ≤ ∞.We establish the following transference between the class A on an interval I ⊂ R and its K -version, …