Theory of Function Spaces

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Springer Science & Business Media, Aug 20, 2010 - Science - 281 pages
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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
 

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Contents

2 Function Spaces on Rn
33
3 Function Spaces on Domains
188
4 Regular Elliptic Differential Equations
212
5 Homogeneous Function Spaces
237
6 UltraDistributions and Weighted Spaces of Entire Analytic Functions
245
7 Weighted Function Spaces on Rn
254
8 Weighted Function Spaces on Domains and Degenerate Elliptic Differential Equations
260
9 Periodic Function Spaces
264
10 Further Types of Function Spaces
269
References
274
Index
284
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