Two types of discrete Sobolev inequalities on a weighted Toeplitz graph

DOI10.1016/j.laa.2016.06.029zbMath1343.05097OpenAlexW2474194588MaRDI QIDQ306460

Atsushi Nagai, Yoshinori Kametaka, Kazuo Takemura

Publication date: 31 August 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.06.029

zbMATH Keywords

Sobolev inequalityToeplitz graphGreen matrixsharp constantgraph Laplacian

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Best constants in approximation theory (41A44) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items

A hierarchical structure for the sharp constants of discrete Sobolev inequalities on a weighted complete graph, The existence of extremal functions for discrete Sobolev inequalities on lattice graphs, SHARP CONSTANTS OF DISCRETE SOBOLEV INEQUALITIES ON A CYCLIC RECTANGULAR LATTICE

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