Riesz transforms on groups of Heisenberg type

DOI10.1007/s12220-009-9097-4zbMath1185.22005OpenAlexW2090938645MaRDI QIDQ848489

Helena Barbas

Publication date: 3 March 2010

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-009-9097-4

zbMATH Keywords

Riesz transformsgroups of Heisenberg type

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

An existence and uniqueness result for the Navier-Stokes type equations on the Heisenberg group

Cites Work

• Unnamed Item
• Analysis of the Laplacian on a complete Riemannian manifold
• Hilbert transforms along curves. I: Nilpotent groups
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• The heat kernel for generalized Heisenberg groups
• Riesz transforms on generalized Heisenberg groups and Riesz transforms associated to the CCR heat flow
• About Riesz transforms on the Heisenberg groups
• Some results in harmonic analysis in 𝐑ⁿ, for 𝐧→∞
• Heat kernels for class 2 nilpotent groups
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms

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