Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs

DOI10.1007/s00526-022-02232-5zbMath1498.26035arXiv2106.03166OpenAlexW3172312191WikidataQ114017910 ScholiaQ114017910MaRDI QIDQ2135754

Elvise Berchio, Debdip Ganguly, Prasun Roychowdhury

Publication date: 9 May 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.03166

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Potential theory on Riemannian manifolds and other spaces (31C12) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space ⋮ Improved Caffarelli-Kohn-Nirenberg inequalities in unit ball and sharp constants in dimension three ⋮ Multidimensional Frank–Laptev–Weidl improvement of the hardy inequality

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