Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class S0,0
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
Abstract
The multilinear pseudo-differential operators with symbols in the multilinear Hörmander class S0,0 are considered. A complete identification of the cases where those operators define bounded operators between local Hardy spaces is given. Some results for the boundedness between Wiener amalgam spaces are also given. These are extensions and improvements of the results known in the bilinear case.
Topics & Concepts
Multilinear mapMathematicsBounded functionBilinear interpolationClass (philosophy)Pure mathematicsDifferential (mechanical device)Differential operatorPseudo-differential operatorMathematical analysisSemi-elliptic operatorHypoelliptic operatorStatisticsAerospace engineeringArtificial intelligenceComputer scienceEngineeringAdvanced Harmonic Analysis ResearchAdvanced Mathematical Physics ProblemsMathematical Analysis and Transform Methods