Green-type identities for Rockland operators on graded Lie groups

DOI10.1007/S11785-018-0824-3zbMath1419.35193OpenAlexW2819838038WikidataQ115377752 ScholiaQ115377752MaRDI QIDQ2313007

Durvudkhan Suragan, Manat Mustafa

Publication date: 18 July 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0824-3

zbMATH Keywords

representation formulaRockland operatorgraded Lie groupGreen-type identity

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

Green's identities for \((p, q)\)-sub-Laplacians on the Heisenberg group and their applications

Cites Work

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• Quantization on nilpotent Lie groups
• Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
• Multipliers for Besov spaces on graded Lie groups
• Isoperimetric inequalities for the logarithmic potential operator
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Lower bounds for operators on graded Lie groups
• Caracterisation des operateurs hypoelliptiques homogenes
• Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria
• A comparison principle for nonlinear heat Rockland operators on graded groups
• Sobolev spaces on graded Lie groups
• A Pseudo-differential Calculus on Graded Nilpotent Lie Groups

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