Characterization of the (fractional) Malliavin-Watanabe-Sobolev spaces ${\mathcal{D}}^{\alpha ,2}$ via the Bargmann-Segal norm

Wolfgang Bock, Martin Grothaus

Motivated by an open question going back to P.Malliavin and P.-A.Meyer (and closely related to the foundational work of S.Watanabe) on whether Malliavin-Watanabe-Sobolev regularity…