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Weighted weak (1,1) and weighted \(L^ p\) estimates for oscillating kernels. (English) Zbl 0594.42007
Summary: Weak type (1,1) and strong type (p,p) inequalities are proved for operators defined by oscillating kernels. The techniques are sufficiently general to derive versions of these inequalities using weighted norms.

MSC:
42A50 Conjugate functions, conjugate series, singular integrals
42A45 Multipliers in one variable harmonic analysis
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
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