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Pseudodifferential Operators on Spaces of Distributions Associated with Non-negative Self-Adjoint Operators |
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| Authors: | A.?G.?Georgiadis,M.?Nielsen author-information" > author-information__contact u-icon-before" > mailto:mnielsen@math.aau.dk" title=" mnielsen@math.aau.dk" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | 1.Department of Mathematical Sciences,Aalborg University,Aalborg,Denmark |
| Abstract: | We consider Hörmander type symbols on a family of spaces associated with non-negative self-adjoint operators, and we prove boundedness of the corresponding pseudodifferential operators on both classical and non-classical Besov and Triebel–Lizorkin spaces. Consequently, this also covers the case of Sobolev spaces. As an application, we obtain boundedness of spectral multipliers on the mentioned spaces. |
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