Singular integral operators on tent spaces

Mathematics – Classical Analysis and ODEs

Scientific paper

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modification of the introduction and references added as suggested by the referee

Scientific paper

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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