Poincare inequalities, isoperimetric estimates, and representation formulas on product spaces

DOI10.1512/iumj.1998.47.1494zbMath0931.26007OpenAlexW2086518249MaRDI QIDQ4214089

Richard L. Wheeden, Guozhen Lu

Publication date: 14 February 2000

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1998.47.1494

zbMATH Keywords

isoperimetric inequalityPoincaré inequalityspace of homogeneous typeproduct spaceHörmander vector fieldFranchi-Lanconelli vector field

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

Boundedness for solutions of weighted forward-backward parabolic equations without assuming higher regularity ⋮ A note on sharp 1-dimensional Poincaré inequalities ⋮ Global Poincaré inequalities on the Heisenberg group and applications ⋮ Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains ⋮ Self-improving Poincaré-Sobolev type functionals in product spaces ⋮ Average value problems in ordinary differential equations ⋮ On uniform properties of doubling measures ⋮ Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups ⋮ Tensor products and sums of 𝑝\mspace{1𝑚𝑢}-harmonic functions, quasiminimizers and 𝑝\mspace{1𝑚𝑢}-admissible weights ⋮ The Harnack inequality for a class of nonlocal parabolic equations

This page was built for publication: Poincare inequalities, isoperimetric estimates, and representation formulas on product spaces