## Weighted inequalities for commutators of rough singular integrals.(English)Zbl 0708.42012

Weighted norm inequalities with $$A_ p$$ weights are obtained for the n- dimensional Calderón commutators p.v. $$\int \frac{\Omega (x-y)}{| x-y|^{n+k}}[a(x)-a(y)]^ kf(y)dy,$$ where a is Lipschitz, and where $$\Omega$$ is bounded but is not assumed to satisfy any additional regularity condition. We also prove the same result for the corresponding maximal singular integrals. An application to Triebel-Lizorkin spaces is given.
Reviewer: S.Hofman

### MSC:

 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
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