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Inequalities for Gradients of Functions that Vanish on the Boundary

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

Abstract

The present chapter deals with necessary and sufficient conditions for the validity of certain estimates for the norm \({\left\| u \right\|_{{L_q}(\Omega ,\mu )}}\) , where uD(Ω) and μ is a measure in Ω.

Keywords

Orlicz Space Isoperimetric Inequality Integral Inequality Hardy Inequality Good Constant 
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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