- Author
- Marianna Chatzakou (UGent) , Aidyn Kassymov (UGent) and Michael Ruzhansky (UGent)
- Organization
- Project
- Abstract
- In this note we prove the anisotropic version of the Shannon inequality. This can be conveniently realised in the setting of Folland and Stein's homogeneous groups. We give two proofs: one giving the best constant, and another one using the Kubo-Ogawa-Suguro inequality.
- Keywords
- Ghent Analysis & PDE center
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01HNZNSC4T2T6G1FPJB0PPQ6R0
- MLA
- Chatzakou, Marianna, et al. “Anisotropic Shannon Inequality.” OSAKA JOURNAL OF MATHEMATICS, vol. 61, no. 1, 2024, pp. 79–89.
- APA
- Chatzakou, M., Kassymov, A., & Ruzhansky, M. (2024). Anisotropic Shannon inequality. OSAKA JOURNAL OF MATHEMATICS, 61(1), 79–89.
- Chicago author-date
- Chatzakou, Marianna, Aidyn Kassymov, and Michael Ruzhansky. 2024. “Anisotropic Shannon Inequality.” OSAKA JOURNAL OF MATHEMATICS 61 (1): 79–89.
- Chicago author-date (all authors)
- Chatzakou, Marianna, Aidyn Kassymov, and Michael Ruzhansky. 2024. “Anisotropic Shannon Inequality.” OSAKA JOURNAL OF MATHEMATICS 61 (1): 79–89.
- Vancouver
- 1.Chatzakou M, Kassymov A, Ruzhansky M. Anisotropic Shannon inequality. OSAKA JOURNAL OF MATHEMATICS. 2024;61(1):79–89.
- IEEE
- [1]M. Chatzakou, A. Kassymov, and M. Ruzhansky, “Anisotropic Shannon inequality,” OSAKA JOURNAL OF MATHEMATICS, vol. 61, no. 1, pp. 79–89, 2024.
@article{01HNZNSC4T2T6G1FPJB0PPQ6R0,
abstract = {{In this note we prove the anisotropic version of the Shannon inequality. This can be conveniently realised in the setting of Folland and Stein's homogeneous groups. We give two proofs: one giving the best constant, and another one using the Kubo-Ogawa-Suguro inequality.
}},
author = {{Chatzakou, Marianna and Kassymov, Aidyn and Ruzhansky, Michael}},
issn = {{0030-6126}},
journal = {{OSAKA JOURNAL OF MATHEMATICS}},
keywords = {{Ghent Analysis & PDE center}},
language = {{eng}},
number = {{1}},
pages = {{79--89}},
title = {{Anisotropic Shannon inequality}},
url = {{https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-61/issue-1/Anisotropic-Shannon-inequality/5697ojm.full}},
volume = {{61}},
year = {{2024}},
}