Anisotropic Hardy inequalities

We study some Hardy-type inequalities involving a general norm in ℝn and an anisotropic distance function to the boundary. The case of the optimality of the constants is also addressed.

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Bibliographic Details
Published in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2018-06, Vol.148 (3), p.483-498, Article 483
Main Authors: Della Pietra, Francesco, di Blasio, Giuseppina, Gavitone, Nunzia
Format: Article
Language:English
Subjects:
Inequalities
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Description
Summary:We study some Hardy-type inequalities involving a general norm in ℝn and an anisotropic distance function to the boundary. The case of the optimality of the constants is also addressed.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210517000336