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

Summing 

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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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