Marschall, Jürgen Pseudo-differential operators with non regular symbols. (English) Zbl 0695.47047 Berlin: Freie Univ. Berlin, FB Math., Thesis. 139 p. (1985). This work is concerned with pseudo-differential operators with nonsmooth symbols which belong to Hölder-Zygmund spaces. The author develops a calculus with pseudo-differential operators with such a symbol and extends several known properties of pseudo-differential operators with regular symbols such as the continuity and compacity from \(H^{s,p}\) to \(H^{s-m,p}\). Some applications to the construction of a parametrix for elliptic differential operators are given. Reviewer: V.Barbu Cited in 5 Documents MSC: 47Gxx Integral, integro-differential, and pseudodifferential operators 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 35S05 Pseudodifferential operators as generalizations of partial differential operators Keywords:pseudo-differential operators with nonsmooth symbols which belong to Hölder-Zygmund spaces; construction of a parametrix for elliptic differential operators PDF BibTeX XML Cite \textit{J. Marschall}, Pseudo-differential operators with non regular symbols. Berlin: Freie Univ. Berlin, FB Math. (1985; Zbl 0695.47047) OpenURL