Spectral theory of some degenerate elliptic operators with local singularities

DOI10.1016/j.jmaa.2010.05.026zbMath1198.47067OpenAlexW1963781882WikidataQ57339758 ScholiaQ57339758MaRDI QIDQ986592

Leszek Skrzypczak, Haroske, Dorothee D.

Publication date: 11 August 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.026

zbMATH Keywords

compact embeddingsnegative spectrumBirman-Schwinger principledistribution of eigenvaluesMuckenhoupt weighted function spacesdegenerate pseudodifferential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Degenerate elliptic equations (35J70) Pseudodifferential operators (47G30)

Related Items (6)

Spline wavelet decomposition in weighted function spaces ⋮ Local Hardy spaces of Musielak-Orlicz type and their applications ⋮ Entropy numbers of embedding operators of function spaces on sets with tree-like structure ⋮ Atomic decompositions of Triebel-Lizorkin spaces with local weights and applications ⋮ Continuous embeddings of Besov-Morrey function spaces ⋮ Some s‐numbers of embeddings of function spaces with weights of logarithmic type

Cites Work

• Weighted Besov and Triebel spaces: Interpolation by the real method
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• Entropy numbers of embeddings of weighted Besov spaces
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• Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces
• Entropy numbers, s-numbers, and eigenvalue problems
• Weighted Hardy spaces
• Pseudodifferential operators and nonlinear PDE
• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. The case \(q<1\)
• Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
• Eigenvalue distribution of compact operators
• Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type
• Atomic and molecular decompositions of anisotropic Besov spaces
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• Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• Wavelet bases and entropy numbers in weighted function spaces
• Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators I
• Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators II
• !ENTROPY NUMBERS OF EMBEDDINGS OF WEIGHTED BESOV SPACES. II
• Hardy's inequality with weights
• Weighted Norm Inequalities for the Hardy Maximal Function
• The equivalence of two conditions for weight functions
• Matrix-weighted Besov spaces and conditions of A_p type for 0 less than p \leq 1
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces
• Characterizations of weighted Besov and Triebel-Lizorkin spaces via temperatures
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