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Theory of Function Spaces

Hans Triebel (Autor)

Buch | Softcover

IV, 281 Seiten

2010
Springer Basel (Verlag)
978-3-0346-0415-4 (ISBN)

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The book deals with the two scales B^s_p,qand F^s_p,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 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.

Spaces of Entire Analytic Functions.- Function Spaces on Rn.- Function Spaces on Domains.- Regular Elliptic Differential Equations.- Homogeneous Function Spaces.- Ultra-Distributions and Weighted Spaces of Entire Analytic Functions.- Weighted Function Spaces on Rn.- Weighted Function Spaces on Domains and Degenerate Elliptic Differential Equations.- Periodic Function Spaces.- Further Types of Function Spaces.

From the reviews:

"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)

Erscheint lt. Verlag	20.8.2010
Reihe/Serie	Modern Birkhäuser Classics
Zusatzinfo	IV, 281 p.
Verlagsort	Basel
Sprache	englisch
Maße	155 x 235 mm
Gewicht	439 g
Themenwelt	Geisteswissenschaften
	Naturwissenschaften
	Sozialwissenschaften
Schlagworte	analytic function • differential equation • Differential operator • Distribution • Equation • Function • Hardcover, Softcover / Naturwissenschaften allgemein
ISBN-10	3-0346-0415-7 / 3034604157
ISBN-13	978-3-0346-0415-4 / 9783034604154
Zustand	Neuware