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Zbl 1086.58021
Buckley, Stephen M.; Koskela, Pekka
Ends of metric measure spaces and Sobolev inequalities. (English)
[J] Math. Z. 252, No. 2, 275-285 (2006). ISSN 0025-5874; ISSN 1432-1823/e

Summary: Generalizing work of Li and Wang, we prove sharp volume growth/decay rates for ends of metric measure spaces supporting a $(p,p)$-Sobolev inequality. A sharp result for $(q,p)$-Sobolev inequalities is also proved.

MSC 2000:: *58J99 None of the above, but in this section
58J50 Spectral problems; spectral geometry; scattering theory

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Zentralblatt MATH Berlin [Germany]