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Finsler Hardy inequalities |
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| Authors: | Anna Mercaldo Megumi Sano Futoshi Takahashi |
| Institution: | 1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli Federico II, Complesso Monte S. Angelo, via Cintia, Napoli, 80126 Italy;2. Laboratory of Mathematics, Graduate School of Engineering, Hiroshima University, Higashihiroshima, 739-8527 Japan;3. Department of Mathematics, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka, 558-8585 Japan |
| Abstract: | In this paper we present a unified simple approach to anisotropic Hardy inequalities in various settings. We consider Hardy inequalities which involve a Finsler distance from a point or from the boundary of a domain. The sharpness and the non-attainability of the constants in the inequalities are also proved. |
| Keywords: | best constant Finsler norm Hardy inequality |