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arXiv · 1112.4292

Singular integral operators on tent spaces

Pascal Auscher·Christoph Kriegler·Sylvie Monniaux·Pierre Portal
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Abstract

We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels. A seemingly appropriate condition on the kernel is time-space decay measured by off-diagonal estimates with various exponents.

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Pascal Auscher, Christoph Kriegler, Sylvie Monniaux, Pierre Portal. 2012-03-19. Singular integral operators on tent spaces. https://arxiv.org/abs/1112.4292

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