Limiting case Hardy inequalities on the sphere

DOI10.7153/mia-2018-21-73zbMath1403.26015arXiv1711.00724OpenAlexW2963760595WikidataQ129049076 ScholiaQ129049076MaRDI QIDQ4561086

Ahmed A. Abdelhakim

Publication date: 10 December 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00724

zbMATH Keywords

2-spheresharp constantSobolev spaces on manifoldscritical Hardy inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Optimal critical exponent L^p inequalities of Hardy type on the sphere via Xiao's method ⋮ Sharp subcritical and critical \(L^p\) Hardy inequalities on the sphere

Cites Work

• Unnamed Item
• Hardy type inequalities on balls
• The analysis and geometry of Hardy's inequality
• Hardy type inequalities on the sphere
• Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements
• A simple proof of Hardy's inequality in a limiting case
• Sharp remainder of a critical Hardy inequality
• Some Hardy inequalities on the sphere
• A Scale Invariant Form of a Critical Hardy Inequality

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