Weighted Poincaré inequalities on one-dimensional unbounded domains
The authors establish sufficient conditions which guarantee that weighted Poincaré inequalities hold on convenient subsets of weighted Sobolev spaces \(W^{m, p} (\Omega; x^{\alpha}, x^{\beta})\) or \(W^{m, p} (\Omega, w, w).\) Here \(\Omega\) is either the interval \((a, \infty)\) with \(a > 0\) (in the former case) or \([0, \infty)\) (in the latter case).
scientific article; zbMATH DE number 2073827