Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.507, sa.2, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 507 Sayı: 2
- Basım Tarihi: 2022
- Doi Numarası: 10.1016/j.jmaa.2021.125795
- Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
- Anahtar Kelimeler: Trudinger-Moser inequality, Hardy inequality, Caffarelli-Kohn-Nirenberg inequality, Riemannian manifold, Non-positive curvature, Hyperbolic space, INTERPOLATION
- Süleyman Demirel Üniversitesi Adresli: Hayır
Özet
In this paper we obtain Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities with sharp constants on Riemannian manifolds with non-positive sectional curvature and, in particular, a variety of new estimates on hyperbolic spaces. Moreover, in some cases we also show their equivalence with Trudinger-Moser inequalities. As consequences, the relations between the constants of these inequalities are investigated yielding asymptotically best constants in the obtained inequalities. We also obtain the corresponding uncertainty type principles. (C) 2021 The Authors. Published by Elsevier Inc.