Buckley, Stephen M.; Koskela, Pekka New Poincaré inequalities from old. (English) Zbl 0915.46025 Ann. Acad. Sci. Fenn., Math. 23, No. 1, 251-260 (1998). Summary: We discuss a geometric method, which we refer to as Coning, for generating new Poincaré type inequalities from old ones. In particular, we derive weighted Poincaré inequalities for star-shaped domains and variant Trudinger inequalities for another class of domains. Cited in 2 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:Poincaré type inequalities; star-shaped domains; Trudinger inequalities PDFBibTeX XMLCite \textit{S. M. Buckley} and \textit{P. Koskela}, Ann. Acad. Sci. Fenn., Math. 23, No. 1, 251--260 (1998; Zbl 0915.46025) Full Text: EuDML EMIS