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Finsler Hardy inequalities
Author(s) -
Mercaldo Anna,
Sano Megumi,
Takahashi Futoshi
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900117
Subject(s) - mathematics , inequality , boundary (topology) , simple (philosophy) , domain (mathematical analysis) , point (geometry) , pure mathematics , mathematical analysis , calculus (dental) , geometry , medicine , philosophy , dentistry , epistemology
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.