Admissible measures in one dimension

DOI10.1090/S0002-9939-05-07925-6zbMath1085.26008MaRDI QIDQ5713190

Stephen Keith, Jana Björn, Stephen M. Buckley

Publication date: 12 December 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Poincaré inequalityadmissible measureMuckenhoupt \(A_p\)-weight, doubling measure

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (17)

The $p$-weak gradient depends on $p$ ⋮ Removable singularities for bounded \(\mathcal{A} \)-(super)harmonic and quasi(super)harmonic functions on weighted \(\mathbf{R}^n\) ⋮ On limits at infinity of weighted Sobolev functions ⋮ The Hajłasz capacity density condition is self-improving ⋮ Sharp capacity estimates for annuli in weighted \(\mathbf {R}^n\) and in metric spaces ⋮ Existence and uniqueness of limits at infinity for homogeneous Sobolev functions ⋮ \(p\)-Poincaré inequality versus \(\infty \)-Poincaré inequality: some counterexamples ⋮ Admissibility versus \(A_p\)-conditions on regular trees ⋮ Rigidity of derivations in the plane and in metric measure spaces ⋮ Alternative proof of Keith–Zhong self-improvement and connectivity ⋮ Quasilinear elliptic equations with sub-natural growth terms in bounded domains ⋮ Weighted Sobolev spaces on metric measure spaces ⋮ Notes on admissible measures in one dimension ⋮ Locally \(p\)-admissible measures on \(\mathbf{R}\) ⋮ Tensor products and sums of 𝑝\mspace{1𝑚𝑢}-harmonic functions, quasiminimizers and 𝑝\mspace{1𝑚𝑢}-admissible weights ⋮ Apriori decay estimates for Hardy-Sobolev-Maz'ya equations ⋮ Lattice property of $p$-admissible weights

Cites Work

• The local regularity of solutions of degenerate elliptic equations
• Sharp conditions for 1-dimensional weighted Poincare inequalities
• Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type.
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