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In this paper we prove three different Liouville type theorems for the steadyNavier-Stokes equations in $\Bbb R^3$. In the first theorem we improvelogarithmically the well-known $L^{\frac92} (\Bbb R^3)$ result. In the secondtheorem we present a sufficient condition for the trivially of thesolution($v=0$) in terms of the head pressure, $Q=\frac12 |v|^2 +p$. Theimposed integrability condition here has the same scaling property as theDirichlet integral. In the last theorem we present Fubini type condition, whichguarantee $v=0$.

On Liouville type theorems for the steady Navier-Stokes equations in $\Bbb R^3$