A note on commutators of fractional integrals with ${\rm RBMO}(\mu)$ functions
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Abstract
Let $\mu$ be a Borel measure on $\mathbb{R}^d$ which may be non-doubling. The only condition that $\mu$ must satisfy is $\mu(Q)\leq c_0l(Q)^n$ for any cube $Q\subset \mathbb{R}^d$ with sides parallel to the coordinate axes, for some fixed $n$ with $0 < n\leq d$. In this note we consider the commutators of fractional integrals with functions of the new BMO introduced by X. Tolsa.
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