Calculate (A*Nabla)B ?

Does anyone how to write (A*Nabla)B in Mathematica?

As far as I understood I can also write (ANabla)B=Nabla(ATransposed[B])-B(NablaA), but I can’t get this to work either as I don’t know how to write ATransposed(B).

Any ideas?

I think that you can write directly

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