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Weighted Hardy and Rellich type inequalities on Riemannian manifolds
Author(s) -
Kombe Ismail,
Yener Abdullah
Publication year - 2016
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.201500237
Subject(s) - mathematics , remainder , riemannian manifold , type (biology) , inequality , manifold (fluid mechanics) , pure mathematics , mathematical analysis , arithmetic , mechanical engineering , engineering , ecology , biology
In this paper we present new results on two‐weight Hardy, Hardy–Poincaré and Rellich type inequalities with remainder terms on a complete noncompact Riemannian Manifold M . The method we use is flexible enough to obtain more weighted Hardy type inequalities. Our results improve and include many previously known results as special cases.