Triebel–Lizorkin–Lorentz Spaces and the Navier–Stokes Equations
Triebel–Lizorkin–Lorentz Spaces and the Navier–Stokes Equations
We derive basic properties of Triebel–Lizorkin–Lorentz spaces important in the treatment of PDE. For instance, we prove Triebel–Lizorkin–Lorentz spaces to be of class \mathcal {HT} , to have property (\alpha) , and to admit a multiplier result of Mikhlin type. By utilizing these properties we prove the Laplace and the …