Vladimir Maz'ya, Tatyana O. Shaposhnikova

Theory of Sobolev Multipliers (eBook, PDF)

With Applications to Differential and Integral Operators

• Format: PDF

Produktdetails

• Verlag: Springer Berlin
• Erscheinungstermin: 13.10.2008
• Englisch
• ISBN-13: 9783540694922
• Artikelnr.: 37366057

Autorenporträt

Inhaltsangabe

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Description and Properties of Multipliers.- Trace Inequalities for Functions in Sobolev Spaces.- Multipliers in Pairs of Sobolev Spaces.- Multipliers in Pairs of Potential Spaces.- The Space M(B m p ? B l p ) with p > 1.- The Space M(B m 1 ? B l 1).- Maximal Algebras in Spaces of Multipliers.- Essential Norm and Compactness of Multipliers.- Traces and Extensions of Multipliers.- Sobolev Multipliers in a Domain, Multiplier Mappings and Manifolds.- Applications of Multipliers to Differential and Integral Operators.- Differential Operators in Pairs of Sobolev Spaces.- Schrödinger Operator and M(w 1 2 ? w ?1 2).- Relativistic Schrödinger Operator and M(W ½ 2 ? W ?½ 2).- Multipliers as Solutions to Elliptic Equations.- Regularity of the Boundary in L p -Theory of Elliptic Boundary Value Problems.- Multipliers in the Classical Layer Potential Theory for Lipschitz Domains.- Applications of Multipliers to the Theory of Integral Operators.

Rezensionen

From the reviews: "This very interesting book ... collects the multitude of new results in this area, essentially obtained by the authors or inspired by their work during the past thirty years. ... This comprehensive monograph is very well written and structured. It will certainly become an extremely useful reference for mathematicians working in functional analysis and in the theories of partial differential, integral, and pseudodifferential operators. ... it recommendable both for experts and mathematicians with a wider field of interest." (Dorothee D. Haroske, Mathematical Reviews, Issue 2010 d)