Displaying similar documents to “On compactness of embedding for Sobolev spaces defined on metric spaces.”

Smooth approximation in weighted Sobolev spaces

Tero Kilpeläinen (1997)

Commentationes Mathematicae Universitatis Carolinae

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We give necessary and sufficient conditions for the equality H = W in weighted Sobolev spaces. We also establish a Rellich-Kondrachov compactness theorem as well as a Lusin type approximation by Lipschitz functions in weighted Sobolev spaces.

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].

Lambert multipliers between L p spaces

M. R. Jabbarzadeh, S. Khalil Sarbaz (2010)

Czechoslovak Mathematical Journal

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In this paper Lambert multipliers acting between L p spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated.