Localisation of spectral sums corresponding to the sub-Laplacian on the Heisenberg group

DOI10.1512/iumj.2022.71.8889zbMath1500.43004arXiv1804.02837OpenAlexW3092685849MaRDI QIDQ5075674

Rahul Garg, Jotsaroop Kaur

Publication date: 11 May 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02837

zbMATH Keywords

interpolationHeisenberg groupBochner-Riesz meanssub-LaplacianHardy-Sobolev inequality

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80) Inequalities involving derivatives and differential and integral operators (26D10) Convergence of Fourier series and of inverse transforms (43A50)

Cites Work

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• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups
• Interpolation theory for function spaces of BESOV type defined in domains. II
• Summation of Multiple Fourier Series by Spherical Means
• Generalized localization for spherical partial sums of multiple Fourier series

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