Geometry of Sobolev spaces on regular trees and the Hardy inequalities
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Publication:873987
zbMath1187.46028MaRDI QIDQ873987
Publication date: 3 April 2007
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Inequalities for sums, series and integrals (26D15)
Related Items (15)
A note on the Gaffney Laplacian on infinite metric graphs ⋮ Schrödinger operators on regular metric trees with long range potentials: weak coupling behavior ⋮ Optimal Hardy inequalities for Schrödinger operators on graphs ⋮ Widths of weighted Sobolev classes on a John domain: strong singularity at a point ⋮ Eigenvalue estimates for Schrödinger operators on metric trees ⋮ Spectral properties of Schrödinger operators on radial \(N\)-dimensional infinite trees ⋮ Quantum graphs on radially symmetric antitrees ⋮ On the mathematical work of Mikhail Zakharovich Solomyak ⋮ On the decomposition of the Laplacian on metric graphs ⋮ NLS ground states on metric trees: existence results and open questions ⋮ Localization for Anderson models on metric and discrete tree graphs ⋮ Wave propagation in fractal trees. Mathematical and numerical issues ⋮ Estimates for norms of two‐weighted summation operators on a tree under some restrictions on weights ⋮ Exact Hausdorff dimension of the spectral measure for the graph Laplacian on a sparse tree ⋮ Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set
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