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arxiv: 1301.5858 · v4 · pith:6S5DQAZMnew · submitted 2013-01-24 · 🧮 math.CA

Non-Homogeneous Local T1 Theorem: Dual Exponents

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keywords theoremdualexponentslocalnon-homogeneousproofsettingalternative
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We provide an alternative proof of a (local) T1 theorem for dual exponents in the non-homogeneous setting of upper doubling measures. This previously known theorem provides necessary and sufficient conditions for the L^p-boundedness of Calder\'on-Zygmund operators in the described setting, and the novelty lies in the method of proof.

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