| Title:
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THEORY OF SOBOLEV MULTIPLIERS
WITH APPLICATIONS TO DIFFERENTIAL AND INTEGRAL OPERATORS |
| By: |
Vladimir Maz'ya, T. O. Shaposhnikova |
| Format: |
Paperback |
| List price:
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£145.00 |
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| ISBN 10: |
364208902X |
| ISBN 13: |
9783642089022 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
2 November, 2010 |
| Edition: |
Softcover reprint of hardcover 1st ed. 2009 |
| Series: |
Grundlehren der mathematischen Wissenschaften 337 |
| Pages: |
614 |
| Description: |
The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory. |
| Synopsis: |
'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. |
| Illustrations: |
2 Illustrations, black and white; XIV, 614 p. 2 illus. |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |