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Sobolev inequality for measure space. (English) Zbl 0915.26007

Yau, Shing-Tung (ed.), Tsing Hua lectures on geometry and analysis, Taiwan, 1990-91. Cambridge, MA: International Press. 299-313 (1997).
Several quite general inequalities are proved on measure spaces endowed with a special structure. The Sobolev inequality on \(\mathbb R^n\) can be then obtained as a corollary. Inequalities of Harnack and Poincaré type are obtained as well.
For the entire collection see [Zbl 0870.00033].
Reviewer: L.Pick (Praha)

MSC:

26D15 Inequalities for sums, series and integrals
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