Theory of Function Spaces IV

Theory of Function Spaces IV
Author: Hans Triebel
Publisher: Springer Nature
Total Pages: 167
Release: 2020-01-23
Genre: Mathematics
ISBN: 3030358917

This book is the continuation of the "Theory of Function Spaces" trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. It can be regarded as a supplement to these volumes and as an accompanying book to the textbook by D.D. Haroske and the author "Distributions, Sobolev spaces, elliptic equations".

Theory of Function Spaces IV

Theory of Function Spaces IV
Author: Hans Triebel
Publisher: Birkhäuser
Total Pages: 160
Release: 2020-03-06
Genre: Mathematics
ISBN: 9783030358907

This book is the continuation of the "Theory of Function Spaces" trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. It can be regarded as a supplement to these volumes and as an accompanying book to the textbook by D.D. Haroske and the author "Distributions, Sobolev spaces, elliptic equations".

Theory of Function Spaces

Theory of Function Spaces
Author: Hans Triebel
Publisher: Springer Science & Business Media
Total Pages: 286
Release: 2010-08-20
Genre: Science
ISBN: 3034604157

The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Functional Analysis, Sobolev Spaces and Partial Differential Equations
Author: Haim Brezis
Publisher: Springer Science & Business Media
Total Pages: 600
Release: 2010-11-02
Genre: Mathematics
ISBN: 0387709142

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Analysis IV

Analysis IV
Author: Roger Godement
Publisher: Springer
Total Pages: 535
Release: 2015-04-30
Genre: Mathematics
ISBN: 3319169076

Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be `modern' and `classical', is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations.

Sobolev Spaces

Sobolev Spaces
Author: Robert A. Adams
Publisher: Elsevier
Total Pages: 321
Release: 2003-06-26
Genre: Mathematics
ISBN: 0080541291

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences. This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike. - Self-contained and accessible for readers in other disciplines - Written at elementary level making it accessible to graduate students

Theory of Function Spaces II

Theory of Function Spaces II
Author: Hans Triebel
Publisher: Springer Science & Business Media
Total Pages: 376
Release: 2010-05-18
Genre: Science
ISBN: 303460419X

Function Spaces and Applications

Function Spaces and Applications
Author: Michael Cwikel
Publisher: Springer
Total Pages: 451
Release: 2006-11-15
Genre: Mathematics
ISBN: 3540388419

This seminar is a loose continuation of two previous conferences held in Lund (1982, 1983), mainly devoted to interpolation spaces, which resulted in the publication of the Lecture Notes in Mathematics Vol. 1070. This explains the bias towards that subject. The idea this time was, however, to bring together mathematicians also from other related areas of analysis. To emphasize the historical roots of the subject, the collection is preceded by a lecture on the life of Marcel Riesz.

Spectral Theory, Function Spaces and Inequalities

Spectral Theory, Function Spaces and Inequalities
Author: B. Malcolm Brown
Publisher: Springer Science & Business Media
Total Pages: 269
Release: 2011-11-06
Genre: Mathematics
ISBN: 3034802633

This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory. In particular, it covers current work on measures of non-compactness and real interpolation, sharp Hardy-Littlewood-Sobolev inequalites, the HELP inequality, error estimates and spectral theory of elliptic operators, pseudo differential operators with discontinuous symbols, variable exponent spaces and entropy numbers. These papers contribute to areas of analysis which have been and continue to be heavily influenced by the leading British analysts David Edmunds and Des Evans. This book marks their respective 80th and 70th birthdays.