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Interpolation spaces an introduction by JoМ€ran Bergh

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Published by Springer-Verlag in Berlin .
Written in English


  • Interpolation spaces.

Book details:

Edition Notes

"The works of Jaak Peetre constitute the main body of this treatise." - preface.

StatementJöran Bergh, Jörgen Löfström.
SeriesGrundlehren der mathematischen Wissenschaften -- 223 Einzeldarstellungen, 223
ContributionsLöfström, Jörgen., Peetre, Jaak.
ID Numbers
Open LibraryOL21338381M
ISBN 100387078754

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A couple of years ago, J. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom's disposal an unfinished manu­ script, covering parts of Chapter and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. Format: Paperback. Interpolation spaces: an introduction Volume of Grundlehren der mathematischen Wissenschaften Volume of Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen: Authors: Jöran Bergh, Jörgen Löfström: Edition: reprint: Publisher: Springer, Original from: the University of Michigan: Digitized: Feb 4, ISBN. Interpolation Spaces: an Introduction. [Jöran Bergh; Jörgen Löfström] -- The works of Jaak Peetre constitute the main body of this treatise. writing a book on interpolation theory and he most generously put at Lofstrom\'s disposal an unfinished manu script, covering parts of Chapter and 5 of this book. Subsequently, LOfstrom. After publishing an introduction to the Navier&#;Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few : $

The second of the two interpolation methods which we discuss in detail, the complex method, is treated in this chapter. Our presentation follows the essential points in Calderón [2]. The results are analogous to those obtained for the real method in Chapter 3, Author: Jöran Bergh, Jörgen Löfström. Interpolation of Lp-Spaces: the Complex Method.- Interpolation of Lp-Spaces: the Real Method.- Interpolation of Lorentz Spaces.- Interpolation of Lp-Spaces with Change of Measure: p0 = p Interpolation of Lp-Spaces with Change of Measure: p0? p Interpolation of Lp-Spaces of Vector-Valued Sequences.- Exercises. Interpolation Theory, Function Spaces, Differential Operators | Hans Triebel | download | B–OK. Download books for free. Find books. More interesting and somewhat more difficult to describe are the interpolation spaces when p is not fixed. Such a program has been carried out in the book of Peetre [P] using the Fourier transform definition of the Besov spaces. The main tool in describing these interpolation spaces is to correspond to each / in the Besov.

1) The interpolation spaces have already been computed. There is a vast literature on this, and he would not need to really study it but just check the statements. Besides the books already mentioned I would add Bennett and Sharpley, Interpolation of Operators, and a few books by l with a similar name (Interpolation is the keyword). Yes, interpolation on product spaces works componentwise, so $$\Bigl(\prod_{i=1}^n X_i,\prod_{i=1}^n Y_i\Bigr) = \prod_{i=1}^n (X_i,Y_i)$$ for any interpolation functor $(\cdot,\cdot)$ even with equal norms for a fixed choice of $\ell_p$ norm on the product spaces.   Purchase Interpolation Functors and Interpolation Spaces, Volume 47 - 1st Edition. Print Book & E-Book. ISBN , Book Edition: 1. Interpolation Functors and Interpolation Spaces Published: 18th March Serial Editors: Yu.A. Brudnyi Krugljak The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions.