Norm estimates and representations for Calderón-Zygmund operators using averages over starlike sets

Watson, David; Wheeden, Richard

doi:10.1090/S0002-9947-99-02313-2

Norm estimates and representations for Calderón-Zygmund operators using averages over starlike sets
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by David K. Watson and Richard L. Wheeden PDF

Trans. Amer. Math. Soc. 351 (1999), 4127-4171 Request permission

Abstract:

We show that homogeneous singular integrals may be represented in terms of averages over starlike sets. This permits us to use the geometry of starlike sets to derive operator-specific weighted norm inequalities.

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