Abstract
It is shown that pseudodifferential operators with symbols in the standard classes S mρ,δ (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.
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Dedicated to Professor Israel Gohberg on the occasion of his sixtieth birthday
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Schrohe, E. Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted LP-Sobolev spaces. Integr equ oper theory 13, 271–284 (1990). https://doi.org/10.1007/BF01193760
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DOI: https://doi.org/10.1007/BF01193760