Yau, Shing Tung 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) Cited in 1 Document MSC: 26D15 Inequalities for sums, series and integrals Keywords:measure space; Sobolev inequality; Poincaré inequality; Harnack inequality PDFBibTeX XMLCite \textit{S. T. Yau}, in: Tsing Hua lectures on geometry and analysis, Taiwan, 1990-91. Cambridge, MA: International Press. 299--313 (1997; Zbl 0915.26007)