Sharp estimates of the embedding constants for Besov spaces.

David E. Edmunds; W. Desmond Evans; Georgi E. Karadzhov

Displaying similar documents to “Sharp estimates of the embedding constants for Besov spaces.”

Gelfand and Kolmogorov numbers of embedding of radial Besov and Sobolev spaces

Alicja Gąsiorowska (2011)

Banach Center Publications

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We prove asymptotic formulas for the behavior of Gelfand and Kolmogorov numbers of Sobolev embeddings between Besov and Triebel-Lizorkin spaces of radial distributions. Our method works also for Weyl numbers.

Compact embedding of a degenerate Sobolev space and existence of entire solutions to a semilinear equation for a Grushin-type operator

Francesca Lascialfari, David Pardo (2002)

Rendiconti del Seminario Matematico della Università di Padova

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Stability estimates for an inverse problem for the linear Boltzmann equation.

Rolci Cipolatti, Carlos M. Motta, Nilson C. Roberty (2006)

Revista Matemática Complutense

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In this paper we consider the inverse problem of recovering the total extinction coefficient and the collision kernel for the time-dependent Boltzmann equation via boundary measurements. We obtain stability estimates for the extinction coefficient in terms of the albedo operator and also an identification result for the collision kernel.

Addendum to the paper "On isomorphisms of anisotropic Sobolev spaces with "classical Banach spaces" and a Sobolev type embedding theorem"

A. Pełczyński, K. Senator (1986)

Studia Mathematica

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Sobolev spaces on multiple cones

P. Auscher, N. Badr (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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The purpose of this note is to discuss how various Sobolev spaces defined on multiple cones behave with respect to density of smooth functions, interpolation and extension/restriction to/from $ℝ^{n}$ . The analysis interestingly combines use of Poincaré inequalities and of some Hardy type inequalities.

The sharp Sobolev inequality in quantitative form

Andrea Cianchi, Nicola Fusco, F. Maggi, A. Pratelli (2009)

Journal of the European Mathematical Society

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Hölder quasicontinuity of Sobolev functions on metric spaces.

Piotr Hajlasz, Juha Kinnunen (1998)

Revista Matemática Iberoamericana

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We prove that every Sobolev function defined on a metric space coincides with a Hölder continuous function outside a set of small Hausdorff content or capacity. Moreover, the Hölder continuous function can be chosen so that it approximates the given function in the Sobolev norm. This is a generalization of a result of Malý [Ma1] to the Sobolev spaces on metric spaces [H1].

An abstract version of the concentration compactness principle.

Ian Schindler, Kyril Tintarev (2002)

Revista Matemática Complutense

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We prove an abstract version of concentration compactness principle in Hilbert space and show its applications to a range of elliptic problems on unbounded domains.

Extrapolation of Sobolev imbeddings.

M. Krbec (1997)

Collectanea Mathematica

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We survey recent results on limiting imbeddings [sic] of Sobolev spaces, particularly, those concerning weakening of assumptions on integrability of derivatives, considering spaces with dominating mixed derivatives and the case of weighted spaces.

Study of Anisotropic MHD system in Anisotropic Sobolev spaces

Jamel Ben Ameur, Ridha Selmi (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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Three-dimensional anisotropic magneto-hydrodynamical system is investigated in the whole space $ℝ^{3}$ . Existence and uniqueness results are proved in the anisotropic Sobolev space $H^{0, s}$ for $s > 1 / 2$ . Asymptotic behavior of the solution when the Rossby number goes to zero is studied. The proofs, where the incompressibility condition is crucial, use the energy method, an appropriate dyadic decomposition of the frequency space, product laws in anisotropic Sobolev spaces and Strichartz-type estimates. ...