Lp-bounds for pseudo-differential operators on graded Lie groups
- Author
- Duvan Cardona Sanchez (UGent) , Julio Delgado and Michael Ruzhansky (UGent)
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- Project
- Abstract
- In this work we obtain sharp L-p-estimates for pseudo-differential operators on arbitrary graded Lie groups. The results are presented within the setting of the global symbolic calculus on graded Lie groups by using the Fourier analysis associated to every graded Lie group which extends the usual one due to Hormander on R-n. The main result extends the classical Fefferman's sharp theorem on the L-p-boundedness of pseudo-differential operators for Hormander classes on Rn to general graded Lie groups, also adding the borderline rho = delta case.
- Keywords
- Geometry and Topology, Pseudo-differential operator, Graded Lie group, Symbolic calculus, L-p-estimates, SPECTRAL MULTIPLIERS, FOURIER MULTIPLIERS, ALGEBRA, CALCULUS, THEOREM
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8714181
- MLA
- Cardona Sanchez, Duvan, et al. “Lp-Bounds for Pseudo-Differential Operators on Graded Lie Groups.” JOURNAL OF GEOMETRIC ANALYSIS, vol. 31, no. 12, 2021, pp. 11603–47, doi:10.1007/s12220-021-00694-1.
- APA
- Cardona Sanchez, D., Delgado, J., & Ruzhansky, M. (2021). Lp-bounds for pseudo-differential operators on graded Lie groups. JOURNAL OF GEOMETRIC ANALYSIS, 31(12), 11603–11647. https://doi.org/10.1007/s12220-021-00694-1
- Chicago author-date
- Cardona Sanchez, Duvan, Julio Delgado, and Michael Ruzhansky. 2021. “Lp-Bounds for Pseudo-Differential Operators on Graded Lie Groups.” JOURNAL OF GEOMETRIC ANALYSIS 31 (12): 11603–47. https://doi.org/10.1007/s12220-021-00694-1.
- Chicago author-date (all authors)
- Cardona Sanchez, Duvan, Julio Delgado, and Michael Ruzhansky. 2021. “Lp-Bounds for Pseudo-Differential Operators on Graded Lie Groups.” JOURNAL OF GEOMETRIC ANALYSIS 31 (12): 11603–11647. doi:10.1007/s12220-021-00694-1.
- Vancouver
- 1.Cardona Sanchez D, Delgado J, Ruzhansky M. Lp-bounds for pseudo-differential operators on graded Lie groups. JOURNAL OF GEOMETRIC ANALYSIS. 2021;31(12):11603–47.
- IEEE
- [1]D. Cardona Sanchez, J. Delgado, and M. Ruzhansky, “Lp-bounds for pseudo-differential operators on graded Lie groups,” JOURNAL OF GEOMETRIC ANALYSIS, vol. 31, no. 12, pp. 11603–11647, 2021.
@article{8714181,
abstract = {{In this work we obtain sharp L-p-estimates for pseudo-differential operators on arbitrary graded Lie groups. The results are presented within the setting of the global symbolic calculus on graded Lie groups by using the Fourier analysis associated to every graded Lie group which extends the usual one due to Hormander on R-n. The main result extends the classical Fefferman's sharp theorem on the L-p-boundedness of pseudo-differential operators for Hormander classes on Rn to general graded Lie groups, also adding the borderline rho = delta case.}},
author = {{Cardona Sanchez, Duvan and Delgado, Julio and Ruzhansky, Michael}},
issn = {{1050-6926}},
journal = {{JOURNAL OF GEOMETRIC ANALYSIS}},
keywords = {{Geometry and Topology,Pseudo-differential operator,Graded Lie group,Symbolic calculus,L-p-estimates,SPECTRAL MULTIPLIERS,FOURIER MULTIPLIERS,ALGEBRA,CALCULUS,THEOREM}},
language = {{eng}},
number = {{12}},
pages = {{11603--11647}},
title = {{Lp-bounds for pseudo-differential operators on graded Lie groups}},
url = {{http://doi.org/10.1007/s12220-021-00694-1}},
volume = {{31}},
year = {{2021}},
}
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