Logarithmic Sobolev Spaces and Their Applications to Spectral Theory

DOI10.1112/plms/s3-71.2.333zbMath0835.46028OpenAlexW1972681985MaRDI QIDQ4862817

Hans Triebel, David E. Edmunds

Publication date: 1995

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-71.2.333

zbMATH Keywords

entropy numbersdistribution of eigenvaluesdegenerate elliptic pseudo-differential operatorslogarithmic Hardy-Sobolev spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Degenerate elliptic equations (35J70) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

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