Maz'ya, Vladimir G.
Theory of Sobolev Multipliers
I. Description and Properties of Multipliers
1. Trace Inequalities for Functions in Sobolev Spaces
2. Multipliers in Pairs of Sobolev Spaces
3. Multipliers in Pairs of Potential Spaces
4. The Space
5. The Space
6. Maximal Algebras in Spaces of Multipliers
7. Essential Norm and Compactness of Multipliers
8. Traces and Extensions of Multipliers
9. Sobolev Multipliers in a Domain, Multiplier Mappings and Manifolds
II. Applications of Multipliers to Differential and Integral Operators
10. Differential Operators in Pairs of Sobolev Spaces
11. Schrödinger Operator and
12. Relativistic Schrödinger Operator and
13. Multipliers as Solutions to Elliptic Equations
14. Regularity of the Boundary in
15. Multipliers in the Classical Layer Potential Theory for Lipschitz Domains
16. Applications of Multipliers to the Theory of Integral Operators
Keywords: MATHEMATICS / General MAT000000
- Author(s)
- Maz'ya, Vladimir G.
- Shaposhnikova, Tatyana O.
- Publisher
- Springer
- Publication year
- 2009
- Language
- en
- Edition
- 1
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9783540694922