Spectral dimensions of Kreĭn-Feller operators and \(L^q\)-spectra
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Publication:2118910
DOI10.1016/j.aim.2022.108253OpenAlexW4212858137MaRDI QIDQ2118910
Marc Kesseböhmer, Aljoscha Niemann
Publication date: 23 March 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.08862
spectral asymptoticsDirichlet formsMinkowski dimension\(L^q\)-spectrumKreĭn-Feller operatorcoarse multifractal formalism
Function spaces arising in harmonic analysis (42B35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractals (28A80) Volterra integral equations (45D05)
Related Items (6)
Spectral asymptotics of Kreĭn-Feller operators for weak Gibbs measures on self-conformal fractals with overlaps ⋮ Approximation order of Kolmogorov diameters via \(L^q\)-spectra and applications to polyharmonic operators ⋮ The Fučík spectrum for one dimensional Kreĭn-Feller operators ⋮ Weyl's asymptotic formula for fractal Laplacians defined by a class of self-similar measures with overlaps ⋮ Quantization dimensions of compactly supported probability measures via Rényi dimensions ⋮ Spectral dimensions of Kreĭn-Feller operators and \(L^q\)-spectra
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