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A note on singular integral operators with non doubling measures. (English) Zbl 1221.42025
As the author states in the abstract: “Let $$\mu$$ be a Radon measure on $$\mathbb R^d$$ which satisfies $$\mu(B(x, r))\leq Cr^n$$ for any $$x\in \mathbb R^d$$ and $$r > 0$$ and some fixed positive constants $$C$$ and $$n$$ with $$0 < n\leq d$$. In this paper, the relationship between the $$L^p(\mu)$$ boundedness and certain weak type endpoint estimates are considered for the singular integral operators.”
##### MSC:
 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
##### Keywords:
singular operator