Approximation numbers in function spaces and the distribution of eigenvalues of some fractal elliptic operators

DOI10.1016/j.jat.2004.05.003zbMath1130.46305OpenAlexW2042876532MaRDI QIDQ1876662

Hans Triebel

Publication date: 20 August 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.05.003

zbMATH Keywords

wavelet framesfractalsRadon measuresfunction spacesdistribution of eigenvalues

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Fractals (28A80)

Related Items (6)

Spectral theory for the fractal Laplacian in the context of h-sets ⋮ Eigenvalue distribution of semi-elliptic operators in anisotropic Sobolev spaces ⋮ Characterizations of anisotropic Besov spaces ⋮ Comparison of the singular numbers of correct restrictions of elliptic differential operators ⋮ On the spectrum of well-defined restrictions and extensions for the Laplace operator ⋮ Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set

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