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Sobolev Spaces pp 453-468 | Cite as

  • Vladimir G. Maz’ja
Part of the Springer Series in Soviet Mathematics book series (SSSOV)

Abstract

In this chapter we denote by p l (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.

Keywords

Cauchy Sequence Selfadjoint Operator Positive Definiteness Good Constant Arbitrary Positive Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Vladimir G. Maz’ja
    • 1
  1. 1.Faculty of Mathematics and MechanicsLeningrad UniversityLeningradUSSR

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