Theory of Function Spaces (Modern Birkhäuser Classics)

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9783034604154: Theory of Function Spaces (Modern Birkhäuser Classics)
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The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where -∞n in the framework of Fourier analysis, which is based on the technique of maximal functions, Fourier multipliers and interpolation assertions. These topics are treated in Chapter 2, which is the heart of the book. Chapter 3 deals with corresponding spaces on smooth bounded domains in Rn. These results are applied in Chapter 4 in order to study general boundary value problems for regular elliptic differential operators in the above spaces. Shorter Chapters (1 and 5-10) are concerned with: Entire analytic functions, ultra-distributions, weighted spaces, periodic spaces, degenerate elliptic differential equations.

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“There is good reason to think of this book as Volume 1 in a series of (by now) celebrated books on the theory of function spaces treated in a systematic way. It turned out that for many beginners in this part of harmonic analysis this book is still the natural choice to start with. ... this book can still be recommended for people who start their work in function spaces of rather general type and who have some working knowledge in functional analysis ... .” (Dorothee Haroske, Zentralblatt MATH, Vol. 1235, 2012)

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Other Popular Editions of the Same Title

9783764313814: Theory of Function Spaces (Monographs in Mathematics)

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ISBN 10:  3764313811 ISBN 13:  9783764313814
Publisher: Birkhäuser, 1983
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9783034604178: Theory of Function Spaces

Springer, 2010
Softcover

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Book Description Springer Basel AG Aug 2010, 2010. Taschenbuch. Condition: Neu. Neuware - The book deals with the two scales B s p,q and F s p,q of spaces of distributions, where __<s<_ and 0,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 R n in the framework of Fourier analysis, which is based on the technique of maximal functions, Fourier multipliers and interpolation assertions. These topics are treated in Chapter 2, which is the heart of the book. Chapter 3 deals with corresponding spaces on smooth bounded domains in R n . These results are applied in Chapter 4 in order to study general boundary value problems for regular elliptic differential operators in the above spaces. Shorter Chapters (1 and 5-10) are concerned with: Entire analytic functions, ultra-distributions, weighted spaces, periodic spaces, degenerate elliptic differential equations. 285 pp. Englisch. Seller Inventory # 9783034604154

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Book Description Birkhauser, 2010. Paperback. Condition: Brand New. reprint edition. 285 pages. 9.00x6.00x0.50 inches. In Stock. Seller Inventory # __3034604157

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