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.
Citation
Wengu Chen. E. Sawyer. "A note on commutators of fractional integrals with ${\rm RBMO}(\mu)$ functions." Illinois J. Math. 46 (4) 1287 - 1298, Winter 2002. https://doi.org/10.1215/ijm/1258138480
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