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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A note on singular integrals with weights


Authors: Douglas S. Kurtz and Richard L. Wheeden
Journal: Proc. Amer. Math. Soc. 81 (1981), 391-397
MSC: Primary 42B20; Secondary 42B15
MathSciNet review: 597648
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Abstract: We prove two results concerning the behavior on weighted $ {L^p}$ spaces of Calderón-Zygmund singular integrals formed with kernels whose $ {L^1}$ moduli of continuity satisfy the Dini condition. We also prove a result about the behavior of multiplier operators.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0597648-9
PII: S 0002-9939(1981)0597648-9
Article copyright: © Copyright 1981 American Mathematical Society