Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Singular integrals with power weights

Author: Steve Hofmann
Journal: Proc. Amer. Math. Soc. 110 (1990), 343-353
MSC: Primary 42B20; Secondary 47G05
MathSciNet review: 1021899
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Abstract: This note contains proofs of weighted weak-type $ (1,1)$ and weighted $ {L^p}$ inequalities (with power weights $ {\left\vert x \right\vert^\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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Article copyright: © Copyright 1990 American Mathematical Society