Hajłasz-Sobolev type spaces and -energy on the Sierpinski gasket.
Hu, Jiaxin, Ji, Yuan, Wen, Zhiying (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “On compactness of embedding for Sobolev spaces defined on metric spaces.”
Hajłasz-Sobolev type spaces and -energy on the Sierpinski gasket.
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 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 spaces
M. R. Jabbarzadeh, S. Khalil Sarbaz (2010)
Czechoslovak Mathematical Journal
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In this paper Lambert multipliers acting between spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated.
Sobolev space estimates for solutions of the equation on polycylinders.
Darko, Patrick W., Lutterodt, Clement H. (2004)
International Journal of Mathematics and Mathematical Sciences
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Characterization of Trudinger's inequality.
Ozawa, T. (1997)
Journal of Inequalities and Applications [electronic only]
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