Weighted Hardy inequalities and the size of the boundary

DOI10.1007/s00229-008-0208-5zbMath1181.46025OpenAlexW2059081211WikidataQ110020146 ScholiaQ110020146MaRDI QIDQ958183

Juha Lehrbäck

Publication date: 2 December 2008

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0208-5

zbMATH Keywords

Hausdorff dimensionJohn domainHardy inequalityAikawa dimension

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Hausdorff and packing measures (28A78)

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Cites Work

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• Whitney cubes, p-capacity, and Minkowski content
• Hardy's inequalities for Sobolev functions
• Potential theory - selected topics
• Hardy Inequalities
• Rotation and strain
• Holder Domains and Poincare Domains
• Pointwise Hardy inequalities and uniformly fat sets
• Self-improving properties of weighted Hardy inequalities
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Uniformly Fat Sets
• Quasiadditivity of Riesz capacity.
• Pointwise Hardy inequalities
• The Degree of Regularity of a Quasiconformal Mapping
• Hardy’s inequality and the boundary size