Theory Of Sobolev Multipliers: With Applications To Differential And Integral Operators Vladimir G. Mazya

ISBN: 9783642089022

Published: November 13th 2010

Paperback

614 pages


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Theory Of Sobolev Multipliers: With Applications To Differential And Integral Operators  by  Vladimir G. Mazya

Theory Of Sobolev Multipliers: With Applications To Differential And Integral Operators by Vladimir G. Mazya
November 13th 2010 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 614 pages | ISBN: 9783642089022 | 10.57 Mb

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 toMoreI 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 Sobolevs name to the latter. By coining the term Sobolev multipliers we just hint at various spaces of di?erentiable functions of Sobolevs type, being fully aware that Sobolev never worked on multipliers. After all, Fourier never did either.



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