Parametric pseudodifferential operators with point-singularity in the covariable
Sign Up to like & getrecommendations! Published in 2022 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-021-09823-z
Abstract: Starting out from a new description of a class of parameter-dependent pseudodifferential operators with finite regularity number due to G. Grubb, we introduce a calculus of parameter-dependent, poly-homogeneous symbols whose homogeneous components have a particular… read more here.
Keywords: pseudodifferential operators; parameter; singularity covariable; point singularity ... See more keywords
Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-017-0224-x
Abstract: In this paper, we consider pseudodifferential operators on the torus with operator-valued symbols and prove continuity properties on vector-valued toroidal Besov spaces, without assumptions on the underlying Banach spaces. The symbols are of limited smoothness… read more here.
Keywords: besov spaces; mapping properties; operator valued; pseudodifferential operators ... See more keywords