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)


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.


Orlicz Space Isoperimetric Inequality Integral Inequality Hardy Inequality Good Constant 
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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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