On the Riesz transforms for the inverse Gauss measure
- Author
- Tommaso Bruno (UGent) and Peter Sjögren
- Organization
- Project
- Abstract
- Let γ−1 be the absolutely continuous measure on Rn whose density is the reciprocal of a Gaussian function. Let further A be the natural self-adjoint Laplacian on L2(γ−1). In this paper, we prove that the Riesz transforms associated with A of order one or two are of weak type (1,1), but that those of higher order are not.
- Keywords
- Inverse Gauss measure, Riesz transforms, weak type (1,1)
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8663743
- MLA
- Bruno, Tommaso, and Peter Sjögren. “On the Riesz Transforms for the Inverse Gauss Measure.” ANNALES FENNICI MATHEMATICI, vol. 46, no. 1, 2021, pp. 433–48, doi:10.5186/aasfm.2021.4609.
- APA
- Bruno, T., & Sjögren, P. (2021). On the Riesz transforms for the inverse Gauss measure. ANNALES FENNICI MATHEMATICI, 46(1), 433–448. https://doi.org/10.5186/aasfm.2021.4609
- Chicago author-date
- Bruno, Tommaso, and Peter Sjögren. 2021. “On the Riesz Transforms for the Inverse Gauss Measure.” ANNALES FENNICI MATHEMATICI 46 (1): 433–48. https://doi.org/10.5186/aasfm.2021.4609.
- Chicago author-date (all authors)
- Bruno, Tommaso, and Peter Sjögren. 2021. “On the Riesz Transforms for the Inverse Gauss Measure.” ANNALES FENNICI MATHEMATICI 46 (1): 433–448. doi:10.5186/aasfm.2021.4609.
- Vancouver
- 1.Bruno T, Sjögren P. On the Riesz transforms for the inverse Gauss measure. ANNALES FENNICI MATHEMATICI. 2021;46(1):433–48.
- IEEE
- [1]T. Bruno and P. Sjögren, “On the Riesz transforms for the inverse Gauss measure,” ANNALES FENNICI MATHEMATICI, vol. 46, no. 1, pp. 433–448, 2021.
@article{8663743,
abstract = {{Let γ−1 be the absolutely continuous measure on Rn whose density is the reciprocal of a Gaussian function. Let further A be the natural self-adjoint Laplacian on L2(γ−1). In this paper, we prove that the Riesz transforms associated with A of order one or two are of weak type (1,1), but that those of higher order are not.}},
author = {{Bruno, Tommaso and Sjögren, Peter}},
issn = {{2737-0690}},
journal = {{ANNALES FENNICI MATHEMATICI}},
keywords = {{Inverse Gauss measure,Riesz transforms,weak type (1,1)}},
language = {{eng}},
number = {{1}},
pages = {{433--448}},
title = {{On the Riesz transforms for the inverse Gauss measure}},
url = {{http://doi.org/10.5186/aasfm.2021.4609}},
volume = {{46}},
year = {{2021}},
}
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