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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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