Sobolev Inequalities and Harmonic Functions of Polynomial Growth
AuthorAlexopoulos, Georgios K.
SourceJournal of the London Mathematical Society
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We prove a Sobolev inequality for functions not necessarily with compact support, on a connected Lie group G of polynomial volume growth. To prove this inequality we have to characterise the harmonic functions of polynomial growth on G. © 1993 Oxford University Press.