Weighted Norm Estimates and Representation Formulas for Rough Singular Integrals
نویسنده
چکیده
Weighted norm estimates and representation formulas are proved for nonhomogeneous singular integrals with no regularity condition on the kernel and only an L logL integrability condition. The representation formulas involve averages over a starshaped set naturally associated with the kernel. The proof of the norm estimates is based on the representation formulas, some new variations of the Hardy-Littlewood maximal function, and weighted Littlewood-Paley theory. AMS Mathematics Subject Classification: Primary 42B20; Secondary 42B25
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