Estimates for BMO and A_p on an interval transfer to identical dimension-free estimates for their heat and Poisson kernel versions, yielding a polynomial lower bound for the John-Nirenberg constant on balls.
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Dimension-free estimates for semigroup BMO and $A_p$
Estimates for BMO and A_p on an interval transfer to identical dimension-free estimates for their heat and Poisson kernel versions, yielding a polynomial lower bound for the John-Nirenberg constant on balls.