Some Properties of Pseudo-Differential Operators with Amplitude )

  • Jouko Tervo

    University of Kuopio, Finland

Abstract

The paper considers linear pseudo-differential operators with amplitude ), where G is an open set in . A criterion, which guarantees that maps continuously into and that the continuous formal transpose of exists, is verified. Furthermnore, a condition, under which the extension of from to is pseudolocal, is expressed. Also, the decomposition where is properly supported (and pseudolocal) and maps into , is considered.

Cite this article

Jouko Tervo, Some Properties of Pseudo-Differential Operators with Amplitude ). Z. Anal. Anwend. 8 (1989), no. 5, pp. 389–406

DOI 10.4171/ZAA/361