Essential Norms And Localization Moduli Of Sobolev Embeddings For General Domains

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Pennsylvania State University

J. London Math. Soc. (2) 78 (2008) 373 391 C 2008 London Mathematical Society doi:10.1112/jlms/jdn035 Essential norms and localization moduli of Sobolev embeddings

References

[23] J.Lang and V. Maz ya, Essential norms and localization moduli of Sobolev embeddings for general domains., J. Lond. Math. Soc. (2), 78 (2008), no. 2, 373-391 [22] D.E.Edmunds and J.Lang, Asymptotics for Eigenvalues of a Non-Linear Integral System, Bollettion

Almost diagonal matrices and Besov-type spaces based on

given in [13] to a fairly general setting which particularly covers spaces on decomposable manifolds that are needed for practical applications. Moreover, here we investigate some of the theoretical properties of these scales such as embeddings, interpolation results, and best n-term approximation rates. InTheorem 4.2,Section 4, we employ the

Essential norms and localization moduli of Sobolev embeddings

Essential norms and localization moduli of Sobolev embeddings for general domains J. Lang and V.Maz ya September 8, 2008

Jan LANG [email protected] Department of Mathematics The Ohio

[22] J. Lang and V. Maz ya, Essential norms and localization moduli of Sobolev embeddings for general domains. , J. Lond. Math. Soc. (2) 78 (2008), no. 2, 373-391. [21] D.E. Edmunds and J. Lang, Asymptotics for Eigenvalues of a Non-Linear Integral System , Bollettion

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Essential norms and localization moduli of Sobolev embeddings for general domains J. Lang V. Maz ya 1 Introduction Starting with the classical Rellich and Sobolev-Kondrashov the

Almost diagonal matrices and Besov-type spaces based on

given in [13] to a fairly general setting which particularly covers spaces on decomposable manifolds needed for practical applications. Moreover, here we investigate some of the theoretical properties of these scales such as embeddings, interpolation results, and best n-term approximation rates. InTheorem 4.2,Section 4, we employ the theory of