Sobolev Inequalities and Harmonic Functions of Polynomial Growth

DOI10.1112/jlms/s2-48.3.452zbMath0813.43005OpenAlexW2140113830MaRDI QIDQ4289564

Noël Lohoué, Georgios K. Alexopoulos

Publication date: 8 May 1994

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-48.3.452

zbMATH Keywords

polynomial volume growthSobolev-type inequalityanalysis on Lie groupsharmonic functions of polynomial growth

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (3)

Random walks on discrete groups of polynomial volume growth ⋮ Polynomial growth harmonic functions on finitely generated Abelian groups ⋮ Sobolev Inequalities in Familiar and Unfamiliar Settings

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