A geometrical version of hardy's inequality

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Abstract

We prove a version of Hardy's type inequality in a domain Ω ⊂ ℝn which involves the distance to the boundary and the volume of Ω. In particular, we obtain a result which gives a positive answer to a question asked by H. Brezis and M. Marcus. © 2002 Elsevier Science (USA).

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Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T., & Laptev, A. (2002). A geometrical version of hardy’s inequality. Journal of Functional Analysis, 189(2), 539–548. https://doi.org/10.1006/jfan.2001.3859

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