Multiplication in vector‐valued anisotropic function spaces and applications to non‐linear partial differential equations
Multiplication in vector‐valued anisotropic function spaces and applications to non‐linear partial differential equations
Abstract We study multiplication as well as Nemytskij operators in anisotropic vector‐valued Besov spaces , Bessel potential spaces , and Sobolev–Slobodeckij spaces . Concerning multiplication we obtain optimal estimates, which constitute generalizations and improvements of known estimates in the isotropic/scalar‐valued case. Concerning Nemytskij operators we consider the acting of analytic …