Embeddings of Sobolev Spaces with Weights of Power Type

descriptionPublicationkeyboard_double_arrow_right Article 28 Feb 1985Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Zeitschrift für Analysis und ihre Anwendungen, volume 4, pages 25-34 (issn: 0232-2064, eissn: 1661-4534,

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Authors: Edmunds, David E.; Kufner, Alois; Rákosník, Jiří;

doi: 10.4171/zaa/134

Embeddings of Sobolev Spaces with Weights of Power Type

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Abstract

The paper deals with some properties of the weighted Sobolev spaces W_0^{k,p}, W_M^{k,p} and H^{k,p} , with weights which are powers of the distance from a part M of the boundary of the domain of definition. Conditions are given which guarantee the mutual ernbeddings of these spaces and the equivalence of certain norms. The paper generalizes some results of [1] and verifies a conjecture formulated in [2].

Related Organizations

Massachusetts Institute of Technology
United States
University of West Bohemia
Czech Republic
University of Sussex
United Kingdom

Keywords

Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, approximation

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