Pierre Portal Australian National University
Beyond Calderon-Zygmund theory in Bochner spaces
In the past few years many results on singular integral operators have been extended from the scalar-valued
setting to the case of Bochner spaces Lp(Rn;X) where X is a UMD Banach space. The interest of such a
generalization lies in its applications to nonlinear PDE and the insight it provides on some geometric properties
of Banach spaces and on a probabilistic approach to harmonic analytic questions. This talk will present some of
these results and, in particular, recent developments on operators which fall beyond the scope of
Calderón-Zygmund theory.
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