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arxiv: 1112.4292 · v2 · pith:Q4WYQKESnew · submitted 2011-12-19 · 🧮 math.CA · math.FA

Singular integral operators on tent spaces

classification 🧮 math.CA math.FA
keywords spacestentintegraloperatoroperatorssingularappropriateboundedness
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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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