'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 ...
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'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.
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Add this copy of Theory of Sobolev Multipliers With Applications to to cart. $67.50, very good condition, Sold by Second Story Books rated 4.0 out of 5 stars, ships from Rockville, MD, UNITED STATES, published 2009 by Springer.
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Book. Octavo, 609 pages. In Very Good condition. Yellow spine with black and navy text. Boards have mild edge and shelf wear. Textblock has faint smudges on head edge. Shelved ND-E. 1378586. FP New Rockville Stock.
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Add this copy of Theory of Sobolev Multipliers: With Applications to to cart. $170.69, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2008 by Springer.
