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arXiv · 1603.01230

Tent Space Boundedness Via Extrapolation

Pascal Auscher·Cruz Prisuelos-Arribas
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Abstract

We study the action of operators on tent spaces such as maximal operators, Calder{\'o}n-Zygmund operators, Riesz potentials. We also consider singular non-integral operators. We obtain boundedness as an application of extrapolation methods in the Banach range. In the non Banach range, boundedness results for Calder{\'o}n-Zygmund operators follows by using an appropriate atomic theory. We end with some consequences on amalgalm spaces.

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Pascal Auscher, Cruz Prisuelos-Arribas. 2016-03-03. Tent Space Boundedness Via Extrapolation. https://arxiv.org/abs/1603.01230

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