A new sufficient two-weighted bump assumption for 𝐿^{𝑝} boundedness of Calderón-Zygmund operators

Anderson, Theresa

doi:10.1090/S0002-9939-2015-12653-6

A new sufficient two-weighted bump assumption for $L^p$ boundedness of Calderón-Zygmund operators
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Proc. Amer. Math. Soc. 143 (2015), 3573-3586 Request permission

Abstract:

We present new results on the two-weighted boundedness of singular integral operators and $L^p$ boundedness of the Orlicz maximal function. Namely, we extend a theorem of Pérez regarding the necessary and sufficient conditions for the boundedness of the Orlicz maximal function as well as give a new sufficient two-weighted boundedness assumption for Calderón-Zygmund singular integrals.

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