An Optimal Representation Formula for Carnot-Carathéodory Vector Fields
From MaRDI portal
Publication:4265990
DOI10.1112/S0024609398004895zbMath0931.31003MaRDI QIDQ4265990
Richard L. Wheeden, Guozhen Lu
Publication date: 27 February 2000
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)
Related Items (17)
The weighted isoperimetric-type and Sobolev-type inequalities for hypersurfaces in Carnot groups ⋮ Hölder continuity for a class of \(X\)-elliptic equations with singular lower order term ⋮ Global subrepresentation formulas in chain domains with irregular boundaries ⋮ Regularity of sets with quasiminimal boundary surfaces in metric spaces ⋮ A Fefferman-Poincaré type inequality for Carnot-Carathéodory vector fields ⋮ Weighted Inequalities of Poincaré Type on Chain Domains ⋮ Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups ⋮ Gradient estimates for the heat semigroup on \(\mathbb H\)-type groups ⋮ Estimation optimale du gradient du semi-groupe de la chaleur sur le groupe de Heisenberg ⋮ Sum Operators and Fefferman–Phong Inequalities ⋮ A fractional Orlicz-Sobolev Poincaré inequality in John domains ⋮ Harnack inequality for degenerate elliptic equations and sum operators ⋮ Nonlinear elliptic equations related to weighted sum operators ⋮ Moser–Trudinger–Adams inequalities and related developments ⋮ A sharp subelliptic Sobolev embedding theorem with weights ⋮ \(L^1\rightarrow L^q\) Poincaré inequalities for \(0<q<1\) imply representation formulas ⋮ Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition in variable exponent Sobolev spaces
This page was built for publication: An Optimal Representation Formula for Carnot-Carathéodory Vector Fields
