Sobolev Spaces

1. Basic Properties of Sobolev Spaces
Vladimir Maz’ya

2. Inequalities for Functions Vanishing attheBoundary
Vladimir Maz’ya

3. Conductor and Capacitary Inequalities withApplications to Sobolev-Type Embeddings
Vladimir Maz’ya

4. Generalizations for Functions on Manifolds andTopological Spaces
Vladimir Maz’ya

5. Integrability of Functions in the Space L^{1}_{1}(varOmega )

Vladimir Maz’ya

6. Integrability of Functions in the Space L^{1}_{p}(varOmega )
Vladimir Maz’ya

7. Continuity and Boundedness of Functions inSobolev Spaces
Vladimir Maz’ya

8. Localization Moduli of Sobolev Embeddings for General Domains
Vladimir Maz’ya

9. Space of Functions of Bounded Variation
Vladimir Maz’ya

10. Certain Function Spaces, Capacities, andPotentials
Vladimir Maz’ya

11. Capacitary and Trace Inequalities for Functions in ℝ
n
with Derivatives of an Arbitrary Order
Vladimir Maz’ya

12. Pointwise Interpolation Inequalities forDerivatives and Potentials
Vladimir Maz’ya

13. A Variant of Capacity
Vladimir Maz’ya

14. Integral Inequality for Functions on a Cube
Vladimir Maz’ya

15. Embedding of the Space mathaccent"7017{L}^{l}_{p}(varOmega)
into Other Function Spaces
Vladimir Maz’ya

16. Embedding mathaccent "7017{L}^{l}_{p}(varOmega, nu) subset W^{m}_{r}(varOmega)
Vladimir Maz’ya

17. Approximation in Weighted Sobolev Spaces
Vladimir Maz’ya

18. Spectrum of the Schrödinger Operator andtheDirichlet Laplacian
Vladimir Maz’ya

Avainsanat: Mathematics, Analysis