Multipliers between Sobolev spaces and fractional differentiation

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Regularity criteria for the solutions to the 3D MHD equations in the multiplier space (2010, background): “then the solution remains smooth on [0 ,T ]. Therefore, (u, b) ∈ L ∞ � 0 ,T , H 1 (R 3 ) � ∩ L 2 � 0 ,T , H 2 (R 3 ) � . Since (it is proved in [ 6 ])”
Remark on uniqueness of weak solutions to the Navier–Stokes equations (2008, background): “Lemarié-Rieusset in his work [9] (see also [10]).”