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On a strengthened version of Hardy’s inequality

✍ Scribed by Qian Xu, Meixiu Zhou, Xiaoming Zhang


Book ID
120732557
Publisher
Hindawi Publishing Corporation
Year
2012
Tongue
English
Weight
160 KB
Volume
2012
Category
Article
ISSN
1025-5834

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A Geometrical Version of Hardy's Inequal
✍ M. Hoffmann-Ostenhof; T. Hoffmann-Ostenhof; A. Laptev 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 103 KB

We prove a version of Hardy's type inequality in a domain W … R n which involves the distance to the boundary and the volume of W. In particular, we obtain a result which gives a positive answer to a question asked by H. Brezis and M. Marcus.