Interpolation Spaces

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 512/5 ( reviews)

Interpolation Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Interpolation Spaces write by J. Bergh. This book was released on 2012-12-06. Interpolation Spaces available in PDF, EPUB and Kindle. The works of Jaak Peetre constitute the main body of this treatise. Important contributors are also J. L. Lions and A. P. Calderon, not to mention several others. We, the present authors, have thus merely compiled and explained the works of others (with the exception of a few minor contributions of our own). Let us mention the origin of this treatise. 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 1-3 and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. This was then partly rewritten and thouroughly revised by the first author, J. Bergh, who also prepared the notes and comment and most of the exercises. Throughout the work, we have had the good fortune of enjoying Jaak Peetre's kind patronage and invaluable counsel. We want to express our deep gratitude to him. Thanks are also due to our colleagues for their support and help. Finally, we are sincerely grateful to Boe1 Engebrand, Lena Mattsson and Birgit Hoglund for their expert typing of our manuscript.

An Introduction to Sobolev Spaces and Interpolation Spaces

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Release : 2007-05-26
Genre : Mathematics
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Book Rating : 839/5 ( reviews)

An Introduction to Sobolev Spaces and Interpolation Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Sobolev Spaces and Interpolation Spaces write by Luc Tartar. This book was released on 2007-05-26. An Introduction to Sobolev Spaces and Interpolation Spaces available in PDF, EPUB and Kindle. 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 years. The author has now revised and polished it into a text accessible to a larger audience.

Interpolation and Sampling in Spaces of Analytic Functions

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Release : 2004
Genre : Mathematics
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Book Rating : 548/5 ( reviews)

Interpolation and Sampling in Spaces of Analytic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Interpolation and Sampling in Spaces of Analytic Functions write by Kristian Seip. This book was released on 2004. Interpolation and Sampling in Spaces of Analytic Functions available in PDF, EPUB and Kindle. Based on a series of six lectures given by the author at the University of Michigan, this book is intended as an introduction to the topic of interpolation and sampling in analytic function spaces. The three major topics covered are Nevanlinna-Pick interpolation, Carleson's interpolation theorem, an

Interpolation Functors and Interpolation Spaces

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Release : 1991-03-18
Genre : Mathematics
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Book Rating : 104/5 ( reviews)

Interpolation Functors and Interpolation Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Interpolation Functors and Interpolation Spaces write by . This book was released on 1991-03-18. Interpolation Functors and Interpolation Spaces available in PDF, EPUB and Kindle. 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.

Interpolation Spaces and Allied Topics in Analysis

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Release : 2006-12-08
Genre : Mathematics
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Book Rating : 13X/5 ( reviews)

Interpolation Spaces and Allied Topics in Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Interpolation Spaces and Allied Topics in Analysis write by M. Cwikel. This book was released on 2006-12-08. Interpolation Spaces and Allied Topics in Analysis available in PDF, EPUB and Kindle.