arXiv Open Access 2017

Limiting case Hardy inequalities on the sphere

Ahmed A. Abdelhakim

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Abstrak

We give sharp limiting case Hardy inequalities on the sphere $\mathbb{S}^{2}$ and show that their optimal constants are unattainable by any $f\in H^{1}\left(\mathbb{S}^{2}\right)\setminus\{0\}$. The singularity of the problem is related to the geodesic distance from a point on the sphere.

Topik & Kata Kunci

math.AP

Penulis (1)

Ahmed A. Abdelhakim

Format Sitasi

APA MLA BibTeX

Abdelhakim, A.A. (2017). Limiting case Hardy inequalities on the sphere. https://arxiv.org/abs/1711.00724

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Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓