Some remarks about Poincaré type inequalities and representation formulas in metric spaces of homogeneous type

DOI10.1155/S1025583499000053zbMath0934.46037MaRDI QIDQ1291879

Bruno Franchi, Richard L. Wheeden

Publication date: 25 April 2000

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120193

zbMATH Keywords

integral representationgrowth conditionCarnot-Carathéodory vector fieldsvector field gradient

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (4)

Global subrepresentation formulas in chain domains with irregular boundaries ⋮ Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type ⋮ Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent ⋮ \(L^1\rightarrow L^q\) Poincaré inequalities for \(0<q<1\) imply representation formulas

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