Singular integrals with power weights

Hofmann, Steve

doi:10.1090/S0002-9939-1990-1021899-8

Singular integrals with power weights
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Proc. Amer. Math. Soc. 110 (1990), 343-353 Request permission

Abstract:

This note contains proofs of weighted weak-type $(1,1)$ and weighted ${L^p}$ inequalities (with power weights ${\left | x \right |^\alpha }$) for singular integrals whose kernels satisfy Hörmander’s condition, and also various size conditions. Some counter-examples are also given, yielding sharp results.

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