Spectral theory of SG pseudo-differential operators on L<sup>p</sup>(R<sup>n</sup>)
Spectral theory of SG pseudo-differential operators on L<sup>p</sup>(R<sup>n</sup>)
To every elliptic SG pseudo-differential operator with positive orders, we associate the minimal and maximal operators on $L^p(\mathbb R^n),\,1< p< \infty,$ and prove that they are equal. The domain of the minimal (= maximal) operator is explicitly