Sobolev Inequalities and Harmonic Functions of Polynomial Growth
Date
1993Author
Alexopoulos, Georgios K.Lohoué, N.
Source
Journal of the London Mathematical SocietyVolume
s2-48Issue
3Pages
452-464Google Scholar check
Metadata
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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.