Boundedness of Anisotropic Pseudo-Differential Operators in Function Spaces of Besov–Hardy–Sobolev Type

  • Hans-Gerd Leopold

    Friedrich-Schiller-Universität Jena, Germany

Abstract

This paper is concerned with pseudo-differential operators in the anisotropic function spaces of Besov-Hardy-Sobolev type and . An anisotropie generalization of the classical Hörmander class of pseudo-differential operators is introduced and a theorem about the boundedness of these anisotropic pseudo-differential operators in associated anisotropic function spaces is proved.

Cite this article

Hans-Gerd Leopold, Boundedness of Anisotropic Pseudo-Differential Operators in Function Spaces of Besov–Hardy–Sobolev Type. Z. Anal. Anwend. 5 (1986), no. 5, pp. 409–417

DOI 10.4171/ZAA/208