The Imbedding

Maz’ja, Vladimir G.

doi:10.1007/978-3-662-09922-3_13

Vladimir G. Maz’ja²

Part of the book series: Springer Series in Soviet Mathematics ((SSSOV))

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Abstract

In this chapter we denote by L̊ ^l_p (Ω, v) the completion of D(Ω) with respect to the metric

$$\parallel {\nabla _l}u{\parallel _{{L_p}(\Omega )}} + \parallel u{\parallel _{{L_p}(\Omega ,v)}},$$

, where p > 1, Ω is an open set in R ⁿ and v is a measure in Ω.

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Authors and Affiliations

Faculty of Mathematics and Mechanics, Leningrad University, 198904, Leningrad, USSR
Professor Vladimir G. Maz’ja

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Professor Vladimir G. Maz’ja
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Maz’ja, V.G. (1985). The Imbedding . In: Sobolev Spaces. Springer Series in Soviet Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09922-3_13

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DOI: https://doi.org/10.1007/978-3-662-09922-3_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-09924-7
Online ISBN: 978-3-662-09922-3
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