Weighted Norm Estimates and Representation Formulas for Rough Singular Integrals

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Weighted norm estimates and representation formulas are proved for non-homogeneous singular integrals with no regularity condition on the kernel and only an L log L integrability condition. The representation formulas involve averages over a star-shaped 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.
32 pages, 2 figures

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Classical Analysis and ODEs, 42B20; 42B25

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http://salesiana.dossiersoluciones.com/handle/123456789/77170

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807085
 http://arxiv.org/abs/math/9807085

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arXiv