Singular integral operators on tent spaces
  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. 
Pascal Auscher (LM-Orsay), Christoph Kriegler, Sylvie Monniaux (LATP),   Pierre Portal (MSI)
math.CA math.FA