6533b7d2fe1ef96bd125f3be
RESEARCH PRODUCT
Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted LP-Sobolev spaces
Elmar Schrohesubject
Sobolev spaceAlgebra and Number TheoryPseudodifferential operatorsBounded functionMathematical analysisSpectrum (functional analysis)IsotropySpace (mathematics)AnalysisMathematicsdescription
It is shown that pseudodifferential operators with symbols in the standard classes S ρ,δ m (ℝn) define bounded maps between large classes of weighted LP-Sobolev spaces where the growth of the weight does not have to be isotropic. Moreover, the spectrum is independent of the choice of the space.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-03-01 | Integral Equations and Operator Theory |