Theory of Sobolev Multipliers

With Applications to Differential and Integral Operators

Authors:

ISBN: 978-3-540-69490-8 (Print) 978-3-540-69492-2 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xvi

  2. Description and Properties of Multipliers

    1. No Access

      Book Chapter

      Pages 7-31

      Trace Inequalities for Functions in Sobolev Spaces

    2. No Access

      Book Chapter

      Pages 33-68

      Multipliers in Pairs of Sobolev Spaces

    3. No Access

      Book Chapter

      Pages 69-132

      Multipliers in Pairs of Potential Spaces

    4. No Access

      Book Chapter

      Pages 133-178

      The Space M(B m p B l p ) with p > 1

    5. No Access

      Book Chapter

      Pages 179-212

      The Space M(B m 1B l 1)

    6. No Access

      Book Chapter

      Pages 213-239

      Maximal Algebras in Spaces of Multipliers

    7. No Access

      Book Chapter

      Pages 241-284

      Essential Norm and Compactness of Multipliers

    8. No Access

      Book Chapter

      Pages 285-324

      Traces and Extensions of Multipliers

    9. No Access

      Book Chapter

      Pages 325-370

      Sobolev Multipliers in a Domain, Multiplier Mappings and Manifolds

  3. Applications of Multipliers to Differential and Integral Operators

    1. No Access

      Book Chapter

      Pages 373-389

      Differential Operators in Pairs of Sobolev Spaces

    2. No Access

      Book Chapter

      Pages 391-426

      Schrödinger Operator and M(w 1 2w −1 2)

    3. No Access

      Book Chapter

      Pages 427-444

      Relativistic Schrödinger Operator and M(W ½ 2W −½ 2)

    4. No Access

      Book Chapter

      Pages 445-478

      Multipliers as Solutions to Elliptic Equations

    5. No Access

      Book Chapter

      Pages 479-530

      Regularity of the Boundary in L p -Theory of Elliptic Boundary Value Problems

    6. No Access

      Book Chapter

      Pages 531-571

      Multipliers in the Classical Layer Potential Theory for Lipschitz Domains

    7. No Access

      Book Chapter

      Pages 573-589

      Applications of Multipliers to the Theory of Integral Operators

  4. Back Matter

    Pages 591-612