Interpolation Spaces
Author : Jöran Bergh
Publisher :
Page : 224 pages
File Size : 26,99 MB
Release : 1976-11-20
Category : Interpolation spaces
ISBN : 9783642664526
Author : Jöran Bergh
Publisher :
Page : 224 pages
File Size : 26,99 MB
Release : 1976-11-20
Category : Interpolation spaces
ISBN : 9783642664526
Author : Traian Ceaușu
Publisher :
Page : 98 pages
File Size : 20,34 MB
Release : 1988
Category : Banach spaces
ISBN :
Author : Michael Cwikel
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 25,89 MB
Release : 2007
Category : Mathematics
ISBN : 0821842072
This volume contains the Proceedings of the Conference on Interpolation Theory and Applications in honor of Professor Michael Cwikel (Miami, FL, 2006). The central topic of this book is interpolation theory in its broadest sense, with special attention to its applications to analysis. The articles include applications to classical analysis, harmonic analysis, partial differential equations, function spaces, image processing, geometry of Banach spaces, and more. This volume emphasizes remarkable connections between several branches of pure and applied analysis. Graduate students and researchers in analysis will find it very useful.
Author : Colin Bennett
Publisher : Academic Press
Page : 489 pages
File Size : 30,10 MB
Release : 1988-04-01
Category : Mathematics
ISBN : 0080874487
This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.
Author :
Publisher : Elsevier
Page : 735 pages
File Size : 22,9 MB
Release : 1991-03-18
Category : Mathematics
ISBN : 0080887104
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 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K-divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications.
Author : Hans Triebel
Publisher : North-Holland
Page : 536 pages
File Size : 29,91 MB
Release : 1978
Category : Banach spaces
ISBN :
Author : Michael Cwikel
Publisher :
Page : 316 pages
File Size : 29,8 MB
Release : 1992
Category : Interpolation
ISBN :
Author : Hans Triebel
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 11,16 MB
Release : 1992-04-02
Category : Science
ISBN : 9783764326395
Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. Theory of Function Spaces II is self-contained, although it may be considered an update of the author’s earlier book of the same title. The book’s 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. ------ Reviews The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH
Author : Björn Jawerth
Publisher : American Mathematical Soc.
Page : 2 pages
File Size : 28,26 MB
Release : 1991-01-01
Category : Mathematics
ISBN : 9780821861639
In the last few decades, interpolation theory has become an established field with many interesting applications to classical and modern analysis. In this book, the authors develop a general theory of extrapolation spaces, which is a complement to the familiar theory of interpolation spaces. Their results allow an extension of the classical extrapolation theorem of Yano to scales of Banach spaces. They give applications to classical and modern analysis, including extreme forms of Sobolev imbedding theorems, rearranging inequalities for classical operators, and Nash-Moser implicit function theorems.
Author : Hans Triebel
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 45,26 MB
Release : 1983
Category : Fourier analysis
ISBN :