A note on singular integrals with weights

Kurtz, Douglas S.; Wheeden, Richard L.

doi:10.1090/S0002-9939-1981-0597648-9

A note on singular integrals with weights
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by Douglas S. Kurtz and Richard L. Wheeden

Proc. Amer. Math. Soc. 81 (1981), 391-397

DOI: https://doi.org/10.1090/S0002-9939-1981-0597648-9

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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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