Poincaré and Sobolev type inequalities for vector-valued functions

DOI10.1016/J.CAMWA.2008.02.012zbMath1155.26303OpenAlexW1985848965MaRDI QIDQ1004778

George A. Anastassiou

Publication date: 12 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.02.012

zbMATH Keywords

Sobolev inequalitypoincaré inequalityBanach space valued function

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

Inf-sup stability implies quasi-orthogonality

Cites Work

• An optimal Poincaré inequality in $L^1$ for convex domains
• A note on sharp 1-dimensional Poincaré inequalities
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