Optimal critical exponent L^p inequalities of Hardy type on the sphere via Xiao's method

DOI10.7153/JMI-2022-16-19zbMath1500.26015arXiv2006.06214OpenAlexW3034875929MaRDI QIDQ5078797

Ahmed A. Abdelhakim, Song-Ting Yin

Publication date: 25 May 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.06214

zbMATH Keywords

Sobolev spacecritical exponentcompact manifold\(L^p\) Hardy inequalitiesdensity agrument

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 (1)

Sharp subcritical and critical \(L^p\) Hardy inequalities on the sphere

Cites Work

• A sharp Hardy type inequality on the sphere
• Hardy type inequalities on the sphere
• Some Hardy inequalities on the sphere
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Classical Fourier Analysis
• Improved Hardy and Rellich inequalities on Riemannian manifolds
• Limiting case Hardy inequalities on the sphere
• Sharp L^p Hardy type and uncertainty principle inequalities on the sphere

This page was built for publication: Optimal critical exponent L^p inequalities of Hardy type on the sphere via Xiao's method