Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators II

DOI10.1002/mana.19941680108zbMath0829.46020OpenAlexW4249385762WikidataQ57339774 ScholiaQ57339774MaRDI QIDQ4845813

Haroske, Dorothee D., Hans Triebel

Publication date: 22 October 1995

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19941680108

zbMATH Keywords

weighted function spacessymmetric operatorsdistribution of eigenvaluesroot spacesBirman- Schwinger principlemapping and spectral properties of pseudodifferential operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Pseudodifferential operators (47G30)

Related Items (17)

Spectral invariance for pseudodifferential operators on weighted function spaces ⋮ Spline wavelet decomposition in weighted function spaces ⋮ Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases ⋮ Entropy numbers of embeddings of some 2-microlocal Besov spaces ⋮ Entropy numbers of embedding operators of function spaces on sets with tree-like structure ⋮ Real interpolation of generalized Besov-Hardy spaces and applications ⋮ Localisation property of Battle-Lemarié wavelets' sums ⋮ Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis ⋮ Wavelet frames, Sobolev embeddings and negative spectrum of Schrödinger operators on manifolds with bounded geometry ⋮ Q‐matrices as pseudo‐differential operators with negative definite symbols ⋮ Some s‐numbers of embeddings of function spaces with weights of logarithmic type ⋮ Spectral theory of some degenerate elliptic operators with local singularities ⋮ Spline wavelet bases in function spaces with Muckenhoupt weights ⋮ Gaussian decompositions in function spaces ⋮ A practical guide to compact infinite dimensional parameter spaces ⋮ Mapping properties of Fourier transforms ⋮ Pseudodifferential Operators in Function Spaces with Exponential Weights

Cites Work

• A discrete transform and decompositions of distribution spaces
• Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces
• Spectral invariance for algebras of pseudodifferential operators on Besov-Triebel-Lizorkin spaces
• Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers
• Entropy Numbers and Approximation Numbers in Function Spacess
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators I
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