Singular integral operators on tent spaces

Published 19 Dec 2011 in math.CA and math.FA | (1112.4292v2)

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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