Auscher, PascalKriegler, ChristophMonniaux, SylviePortal, Pierre2015-12-131424-3199http://hdl.handle.net/1885/71692We 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.Keywords: Maximal regularity; Off-diagonal estimates; Singular integral operators; Tent spaces201210.1007/s00028-012-0152-42016-02-24