Spectral Multipliers for the Kohn Laplacian on Forms on the Sphere in $$\mathbb {C}^n$$-Reference-Cited by-同舟云学术

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Spectral Multipliers for the Kohn Laplacian on Forms on the Sphere in $$\mathbb {C}^n$$

Published:2017-03-07 Issue:4 Volume:27 Page:3302-3338
ISSN:1050-6926
Container-title:The Journal of Geometric Analysis
language:en
Short-container-title:J Geom Anal

Author:

Casarino Valentina,Cowling Michael G.^ORCID,Martini Alessio,Sikora Adam

Funder

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

Ministero dell’Istruzione, dell’Università e della Ricerca

Australian Research Council

Alexander von Humboldt-Stiftung

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

http://link.springer.com/article/10.1007/s12220-017-9806-3/fulltext.html

Reference37 articles.

1. Baudoin, F., Wang, J.: The subelliptic heat kernel on the CR sphere. Math. Z. 275, 135–150 (2013)

2. Bellaïche, A.: The tangent space in sub-Riemannian geometry. In: Bellaïche, A., Risler, J.-J. (eds.) Sub-riemannian Geometry. Progress in Mathematics, vol. 144, pp. 1–78. Birkhäuser, Basel (1996)

3. Studies in Advanced Mathematics;A Boggess,1991

4. Casarino, V., Peloso, M.M.: $$L^p$$-summability of Riesz means for the sublaplacian on complex spheres. J. Lond. Math. Soc. 83, 137–152 (2011)

5. Chang, D.-C., Markina, I., Vasil’ev, A.: Hopf fibration: geodesics and distances. J. Geom. Phys. 61, 986–1000 (2011)

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1. An $$L^p$$-Spectral Multiplier Theorem with Sharp p-Specific Regularity Bound on Heisenberg Type Groups;Journal of Fourier Analysis and Applications;2024-04

2. A p-specific spectral multiplier theorem with sharp regularity bound for Grushin operators;Mathematische Zeitschrift;2022-06-02

3. Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type;Journal of the European Mathematical Society;2022-01-04

4. Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in $$\mathbb {C}^{2n}$$;Mathematische Zeitschrift;2021-06-20

5. Weighted Spectral Cluster Bounds and a Sharp Multiplier Theorem for Ultraspherical Grushin Operators;International Mathematics Research Notices;2021-03-10

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