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arXiv · 1310.6236

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

Theresa C. Anderson
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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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Theresa C. Anderson. 2014-04-02. A new sufficient two-weighted bump assumption for $L^p$ boundedness of Calderón-Zygmund operators. https://arxiv.org/abs/1310.6236

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