On multipliers on compact Lie groups
- Author
- Michael Ruzhansky (UGent) and J Wirth
- Organization
- Abstract
- In this note we announce L (p) multiplier theorems for invariant and noninvariant operators on compact Lie groups in the spirit of the well-known Hormander-Mikhlin theorem on a"e (n) and its versions on the torus . Applications to mapping properties of pseudo-differential operators on L (p) -spaces and to a priori estimates for nonhypoelliptic operators are given.
- Keywords
- multiplier, pseudo-differential operator, Lie group
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8585164
- MLA
- Ruzhansky, Michael, and J. Wirth. “On Multipliers on Compact Lie Groups.” FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, vol. 47, no. 1, 2013, pp. 72–75, doi:10.1007/s10688-013-0010-3.
- APA
- Ruzhansky, M., & Wirth, J. (2013). On multipliers on compact Lie groups. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 47(1), 72–75. https://doi.org/10.1007/s10688-013-0010-3
- Chicago author-date
- Ruzhansky, Michael, and J Wirth. 2013. “On Multipliers on Compact Lie Groups.” FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 47 (1): 72–75. https://doi.org/10.1007/s10688-013-0010-3.
- Chicago author-date (all authors)
- Ruzhansky, Michael, and J Wirth. 2013. “On Multipliers on Compact Lie Groups.” FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 47 (1): 72–75. doi:10.1007/s10688-013-0010-3.
- Vancouver
- 1.Ruzhansky M, Wirth J. On multipliers on compact Lie groups. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS. 2013;47(1):72–5.
- IEEE
- [1]M. Ruzhansky and J. Wirth, “On multipliers on compact Lie groups,” FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, vol. 47, no. 1, pp. 72–75, 2013.
@article{8585164,
abstract = {{In this note we announce L (p) multiplier theorems for invariant and noninvariant operators on compact Lie groups in the spirit of the well-known Hormander-Mikhlin theorem on a"e (n) and its versions on the torus . Applications to mapping properties of pseudo-differential operators on L (p) -spaces and to a priori estimates for nonhypoelliptic operators are given.}},
author = {{Ruzhansky, Michael and Wirth, J}},
issn = {{0016-2663}},
journal = {{FUNCTIONAL ANALYSIS AND ITS APPLICATIONS}},
keywords = {{multiplier,pseudo-differential operator,Lie group}},
language = {{eng}},
number = {{1}},
pages = {{72--75}},
title = {{On multipliers on compact Lie groups}},
url = {{http://doi.org/10.1007/s10688-013-0010-3}},
volume = {{47}},
year = {{2013}},
}
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