Compact Sobolev imbeddings on finite measure spaces

DOI10.1016/0022-247X(81)90142-6zbMath0466.46041MaRDI QIDQ1155220

James G. Hooton

Publication date: 1981

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

zbMATH Keywords

Gauss measurecompact Sobolev imbeddingsSobolev Orlicz space imbeddings

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Measures and integration on abstract linear spaces (46G12)

Related Items (11)

EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS II: HOOKEAN-TYPE MODELS ⋮ On explicit \(L^2\)-convergence rate estimate for piecewise deterministic Markov processes in MCMC algorithms ⋮ On the equivalence of Sobolev norms in Malliavin spaces ⋮ On explicit \(L^2\)-convergence rate estimate for underdamped Langevin dynamics ⋮ Spectral convergence of high-dimensional spheres to Gaussian spaces ⋮ A note on one-dimensional Poincaré inequalities by Stein-type integration ⋮ A two-phase parabolic free boundary problem with coefficients below the Lipschitz threshold ⋮ Pointwise regularity of the free boundary for the parabolic obstacle problem ⋮ Regularity of a Parabolic Free Boundary Problem with Hölder Continuous Coefficients ⋮ Bi-Kolmogorov type operators And weighted Rellich's inequalities ⋮ Sobolev-Orlicz imbeddings, weak compactness, and spectrum

Cites Work

• Dirichlet semigroups on bounded domains
• Regularity properties of Schrödinger and Dirichlet semigroups
• General logarithmic Sobolev inequalities and Orlicz imbeddings
• Hypercontractivity for anharmonic oscillators
• Dirichlet Forms Associated with Hypercontractive Semigroups
• Logarithmic Sobolev Inequalities
• Sobolev Inequalities for Weight Spaces and Supercontractivity
• Equivalent Norms for Sobolev Spaces
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