Nuclear pseudo-differential operators in Besov spaces on compact Lie groups
- Author
- Duvan Cardona Sanchez (UGent)
- Organization
- Abstract
- In this work we establish the metric approximation property for Besov spaces defined on arbitrary compact Lie groups. As a consequence of this fact, we investigate trace formulae for nuclear Fourier multipliers on Besov spaces. Finally, we study the r-nuclearity, the Grothendieck-Lidskii formula and the (nuclear) trace of pseudo-differential operators in generalized Hormander classes acting on periodic Besov spaces. We will restrict our attention to pseudo-differential operators with symbols of limited regularity.
- Keywords
- Besov spaces, Nuclear trace, Pseudo-differential operator, Compact Lie group, Approximation property, APPROXIMATION PROPERTIES, L-P, SUBSPACES, PROPERTY, WIENER
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8623026
- MLA
- Cardona Sanchez, Duvan. “Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups.” JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 23, no. 5, 2017, pp. 1238–62, doi:10.1007/s00041-016-9512-8.
- APA
- Cardona Sanchez, D. (2017). Nuclear pseudo-differential operators in Besov spaces on compact Lie groups. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 23(5), 1238–1262. https://doi.org/10.1007/s00041-016-9512-8
- Chicago author-date
- Cardona Sanchez, Duvan. 2017. “Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups.” JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 23 (5): 1238–62. https://doi.org/10.1007/s00041-016-9512-8.
- Chicago author-date (all authors)
- Cardona Sanchez, Duvan. 2017. “Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups.” JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 23 (5): 1238–1262. doi:10.1007/s00041-016-9512-8.
- Vancouver
- 1.Cardona Sanchez D. Nuclear pseudo-differential operators in Besov spaces on compact Lie groups. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. 2017;23(5):1238–62.
- IEEE
- [1]D. Cardona Sanchez, “Nuclear pseudo-differential operators in Besov spaces on compact Lie groups,” JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 23, no. 5, pp. 1238–1262, 2017.
@article{8623026, abstract = {{In this work we establish the metric approximation property for Besov spaces defined on arbitrary compact Lie groups. As a consequence of this fact, we investigate trace formulae for nuclear Fourier multipliers on Besov spaces. Finally, we study the r-nuclearity, the Grothendieck-Lidskii formula and the (nuclear) trace of pseudo-differential operators in generalized Hormander classes acting on periodic Besov spaces. We will restrict our attention to pseudo-differential operators with symbols of limited regularity.}}, author = {{Cardona Sanchez, Duvan}}, issn = {{1069-5869}}, journal = {{JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS}}, keywords = {{Besov spaces,Nuclear trace,Pseudo-differential operator,Compact Lie group,Approximation property,APPROXIMATION PROPERTIES,L-P,SUBSPACES,PROPERTY,WIENER}}, language = {{eng}}, number = {{5}}, pages = {{1238--1262}}, title = {{Nuclear pseudo-differential operators in Besov spaces on compact Lie groups}}, url = {{http://doi.org/10.1007/s00041-016-9512-8}}, volume = {{23}}, year = {{2017}}, }
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