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 M(B

m


p
? B

l


p
) with p > 1

5. The Space M(B

m

1 ? B

l

1)

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 M(w
1
2 ? w
-1
2)

12. Relativistic Schrödinger Operator and M(W
½
2 ? W
-½
2)

13. Multipliers as Solutions to Elliptic Equations

14. Regularity of the Boundary in L

p
-Theory of Elliptic Boundary Value Problems

15. Multipliers in the Classical Layer Potential Theory for Lipschitz Domains

16. Applications of Multipliers to the Theory of Integral Operators

Nyckelord: MATHEMATICS / General MAT000000