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Theory of Sobolev Multipliers
With Applications to Differential and Integral Operators
Vladimir Maz'ya, Tatyana O Shaposhnikova
232,45 €
+ 464 points
Format
Description
'I never heard of "Ugli?cation," Alice ventured to say. 'What is it?'' Lewis Carroll, "Alice in Wonderland" Subject and motivation. The present book is devoted to a theory of m- tipliers in spaces of di?erentiable functions and its applications to analysis, partial di?erential and integral equations. By a multiplier acting from one functionspaceS intoanotherS, wemeanafunctionwhichde?nesabounded 1 2 linear mapping ofS intoS by pointwise multiplication. Thus with any pair 1 2 of spacesS, S we associate a third one, the space of multipliersM(S?S ) 1 2 1 2 endowed with the norm of the operator of multiplication. In what follows, the role of the spacesS andS is played by Sobolev spaces, Bessel potential 1 2 spaces, Besov spaces, and the like. The Fourier multipliers are not dealt with in this book. In order to emp- size the di?erence between them and the multipliers under consideration, we attach Sobolev's name to the latter. By coining the term Sobolev multipliers we just hint at various spaces of di?erentiable functions of Sobolev's type, being fully aware that Sobolev never worked on multipliers. After all, Fourier never did either.
Spécifications
Parties prenantes
- Auteur(s) :
- Editeur:
Contenu
- Nombre de pages :
- 614
- Langue:
- Anglais
- Collection :
- Tome:
- n° 337
Caractéristiques
- EAN:
- 9783540694908
- Date de parution :
- 30-09-08
- Format:
- Livre relié
- Format numérique:
- Genaaid
- Dimensions :
- 165 mm x 236 mm
- Poids :
- 1043 g
