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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.)
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