Green's function asymptotics and sharp interpolation inequalities

DOI10.1070/RM2014v069n02ABEH004887zbMath1314.46051arXiv1303.0957MaRDI QIDQ2875026

Serguei Zelik, Alexei A. Ilyin

Publication date: 13 August 2014

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0957

zbMATH Keywords

Green's functionsharp constantsSobolev inequalitiesCarleson inequalityinterpolation inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations on manifolds, general theory (58J05) Green's functions for elliptic equations (35J08)

Related Items (6)

Lieb-Thirring inequalities on manifolds with constant negative curvature ⋮ Lieb-Thirring constant on the sphere and on the torus ⋮ Sharp interpolation inequalities for discrete operators ⋮ Cesaro summation by spheres of lattice sums and Madelung constants ⋮ Sharp interpolation inequalities for discrete operators and applications ⋮ Estimates for the dimension of attractors of a regularized Euler system with dissipation on the sphere

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